The equivalent function of g(f(x)) for the given function is 2x³ - 3.
Function composition is an operation × that takes two functions f and g, and produces a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g is applied to the result of applying the function f to x.
We have been given that
f(x) = x3 – 1
g(x) = 2x - 1
and find out g(f(x)) =?
The notation for function composition is h = f • g or h(x) = (f • g)(x) and is read as 'f of g of x'. The procedure is called composition because the new function is composed of the two given functions f and g, where one function is substituted into the other.
g(f(x)) = 2(f(x))- 1
Put the value of f(x) in the equation
g(f(x)) = 2( x³ - 1) -1
g(f(x)) = 2 x³ - 2 -1
g(f(x)) = 2 x³ - 3
Hence , For the given function, 2x3 - 3 serves as the corresponding function of g(f(x)).
To learn more about Composition function
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NEED HELP ASAP PLEASE.
Answer:
b.40
Step-by-step explanation:
what is 2 to the second power
Answer:
4.
Step-by-step explanation:
Hope this helps! <3
Multiply.
−3 2/3⋅(−2 1/4) ?
A −8 1/4
B −6 1/6
C 6 1/6
D 8 1/4
Answer:
49
Step-by-step explanation:
so let explain
you first have to make the fractions into whole numbers the way you do that is by
1) multiply the 3 times -3
2) then add 2
3) = -7
The next one you do the same
4 times -2
plus 1 =-7
so then this what the equation would look like
-7(-7)
so you multiply the 7 and get
49
How do you write -4.50 as a mixed number
Answer:
-9/2
Step-by-step explanation:
There are 20,000 animals in a zoo. There are 650 mammals and 225 reptiles that live in the zoo. what fraction of all the animals are a)reptiles b)mammals
Answer:
You have to simplify to the lowest common denominator
Step-by-step explanation:
650/20000=13/400 mammals
225/20000=9/800 reptiles
875/20000=7/160 mammals or reptiles
Hope this helped
f(x)=-5/2 x-3
A. Create a linear function g(x) such that f(x) = g(x) has exactly one solution.
g(x) = ?
B. What is the exact solution to f(x) = g(x)?
x = ?
Step by step
Fully Simplify (multiplying imaginary numbers)
(-3_/-63) (9_/7)
See attachment for math work and answer.
Which expression is equal to 527.471?*
(5x100)+(2x10)+(7x1)+(4x10) + (7x100)+ (1x1,000)
(5x100,000)+(2x10,000)+(7x1,000)+(4x100) + (7x10)+ (1x1)
(5x100)+(2x10)+(7x1)+(4x1/1) + (7x1/10)+ (1x1/100)
(5x100)+(2x10)+(7x1)+(4x1/10) + (7x1/100)+ (1x1/1,000)
Answer:
Step-by-step explanation:
527.471 =(5 ×100.000) +(2 ×10.000) +(7 ×1.000) +(4 ×100) +(7 ×10) +(1×1)
Answer:
500029301.171
Step-by-step explanation:
Give the missing reasons for this proof (with picture)
2. alternate angles I think
3. vertically opposite angles
4. Interior angles
Solve: 2x^2 + 6x = 0
Answer: x=-3 or x=0
Factor the quadratic
2x(x+3)=0
Equate each factor to 0 and solve for x
2x=0
x=0
x+3=0
x=-3
Ida needs to hire a singer for her wedding. Singer A is offering his services for an initial $80 in addition to $13.35 per hour. Singer B is offering her services for an initial $86 in addition to 11.65 per hour. When will the two singers charge the same amount for money?
Answer:
The two singers will charge the same amount for money at 3.53 hours
Step-by-step explanation:
Let the number of hours be represented by y
Ida needs to hire a singer for her wedding.
Singer A is offering his services for an initial $80 in addition to $13.35 per hour.
= $80 + $13.35(y)
= 80 + 13.35y
Singer B is offering her services for an initial $86 in addition to 11.65 per hour.
= $86 + $11.65 × y
= 86+ 11.65y
When will the two singers charge the same amount for money?
Singer A = Singer B
80 + 13.35y = 86+ 11.65y
Collect like terms
= 13.35y - 11.65y = 86 - 80
1.7y = 6
y = 6/1.7
y = 3.5294117647 hours
Approximately = 3.53 hours
The two singers will charge the same amount for money at 3.53 hours
1/2a + 1/3a =5 please help :)
Answer:
a=6
Step-by-step explanation:
1/2a+1/3a=5
5/6a=5
a=6
hope this helps
brainliest?
Answer:
a=6
Step-by-step explanation:
1/2a + 1/3a =5
Multiply each side by 6 to clear the fractions
6(1/2a + 1/3a) =5*6
3a +2a = 30
Combine like terms
5a = 30
Divide by 5
5a/5 = 30/5
a = 6
(-7) • (-5) what does it equal to
Answer:
35
Step-by-step explanation:
Negative × negative = Positive-7 × -5 = 35I hope this helps!
Answer:
35
Step-by-step explanation:
Simplify
(-7) X (-5)
Negatives cancel out so its going to be positive
That's how you get 35.
HELP FAST !!! plzzzzz
Answer:
Flip the triangle around at the point Z
Step-by-step explanation:
The reason you need to flip the triangle at point Z is because, when reflecting, you need to reflect it over the line given. since the reflective line is x = 1, you reflect it off the line x of 1 or point (1,0). Also, when reflecting, the line of reflection will actually be perpendicular with the point given because, when reflecting, x = 1 means that all of the x coordinates on the line will equal 1. For example, your line would have to pass through the points (1,-4), (1,-2), (1,0), (1,2), so on so forth so in this statement, all of your points will be reflected over that line and since z is on that line, the triangle is just fliped at point z.
Will mark brainiest for the first one with the correct answer.
Answer:
for pulling out a killer kiwi it would be 5/15 and 9/15 for crazy coconut
How far can a cheetah run in 2 hours at a speed of 40 miles/hour?
Math helppppppppppp
-0.05/ -5/8
6 1/4/ -5/16
-3/5 / 2 1/4
-9/10/ 1 3/5
Answer:
1) 0.08
2) -20
3) -4/15 or -0.26 repeating
4) -9/16 or -0.5625
What does that equal??
Answer:
I beileve its 1 and 7/15
Step-by-step explanation:
It was for a test and I beileve I got a 100
Answer:
1 whole, 7/15
Step-by-step explanation:
Step 1_ (23×55)+(45×33)=?
Step 2_ 1015+1215=?
Step 3_ 10+1215=2215
Step 4_ 2215
Step 5_ 22÷15
Step 6_ 2215=1715
Step 7_ 23+45=1715
BTW THE NUMBERS ARE FRACTIONS NOT WHOLE NUMBERS
HOPE THIS HELPS!!
please help with my guided practice
it's 88 I've been getting so mix up forgive me So the area of the square is 64. When you find the area of the triangle you multiply the base by its height, which is 6 by 8 and then you divide by two. 64+24=88
URGENT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2 + 2 = ______
Answer
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
2+2 = 4!!!
Hope this helps :)
Which of the following is a solution to the Equation 2x^2+4y=3=3x^2
A)-1
B)0
C)3
D)6
Answer:
3
Step-by-step explanation:
I think 3 is the answer
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
Answer: (for the sentence) an endpoint; one direction
Step-by-step explanation:
Drag the point that does not have an arrow after it to point A and the other one to point B.
Answer:
you move it to align with a and the starting point is B.
Step-by-step explanation:
it is a ray because it has a starting point but goes forever in one direction.
can you give me brainliest?
HELP ASAP PLS, matching sequence to its recursive formula
A number n minus 3 is at least –5.
Answer:
n-3≥-5
If you need the equation solved...
n-3≥-5
+3 +3
n≥-2
Hope this helped!! Have a great day c:
I WILL GIVE BRAINLEST PLZ HELP!!!
Analyzing Slope On a coordinate plane, a line goes through points (4, 24) and (16, 18). Willa says the slope of the graph is Negative one-third. What error did she make when finding the slope? The slope is positive instead of negative. She counted the squares instead of using the scale. She used the points that are further apart instead of the two consecutive points. She used StartFraction rise Over run EndFraction when finding slope.
Step-by-step explanation:
The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.
if it's a multiple chose then the answer is b
hope this helps
Answer:
here is the answer
Step-by-step explanation:
hii i need help with a geometry problem. the picture is attached. i'll mark you brainliest!!
Answer:
i would wanna say the first one
Step-by-step explanation:
∆GAS ≅ ∆IOL by rule ASA , SAA
We say that ∆GAS ≅ ∆IOL because m∠G = m∠I , m∠A = m∠L and AS = LO ( which means that these triangles are congruent under the ASA or SAA congruence postulate . )
Therefore ,
∆GAS ≅ ∆ILO by rule ASA , SAACarly, Brandon and Wyatt gather and shell walnuts for their grandfather. Carly gathers 3.5 pounds of walnuts. Brandon collects 3.75 pounds of walnuts and Wyatt collects 2 pounds. If they place all of the walnuts in one basket and each shells the same amount of walnuts, how many pounds will each person she
Answer: 3.083 pounds
Step-by-step explanation:
Amount of walnuts gathered by Carly = 3.5 pounds
Amount of walnuts gathered by Brandon = 3.75 pounds
Amount of walnuts gathered by Wyatt = 2 pounds
Total walnuts gathered = 3.5 + 3.75 + 2 = 9.25 pounds
Since they shared the walnuts equally, each person will get:
= 9.25pounds/3
= 3.083 pounds
The stemplot shows the number of magazines sold by students in a band. One data value was inadvertently omitted from the stemplot. A stemplot titled magazines sold has values 8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40. Which statement is true? If the missing data value was 55, the range of the data would change significantly. If the missing data value was 55, the interquartile range of the data would change significantly. If the missing data value was 22, the range of the data would change significantly. If the missing data value was 22, the interquartile range of the data would change significantly.
Answer:
If the missing data value was 55, the range of the data would change significantly
If the missing data value was 22, the interquartile range of the data would change significantly
Step-by-step explanation:
Given the data
8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34,40
The range of the data is the difference between the highest value and the lowest value of the data.
Highest value = 40
Lowest value = 8
Range = 40-8
Range = 32
If 55 was missing, we need yo find the range of the data if 55 was included.
Highest value will be 55
Lowest value = 8
Range in this case = 55-8
Range = 47
Difference in range = 47-32= 15
This means that if 55 was missing, it will significantly affect the value of the range.
- Interquartile range = Q3-Q1
Q3 is the median value of the other half of the data.
Q1 is the median value of the first half of the data.
If 55 wasn't included, the first part of the data:
8, 9, 12, 12), 13, (15, 16, 16, 16
Q1 = 13 (median value of the extracted data)
The second part of the data if 55 wasn't included:
18, 21, 22, 23), 27, (28, 32, 34, 40
Q3 = 27 (median value of the second part of the data)
IQR = Q3-Q1
IQR = 27-13
IQR = 14
If 55 was included, the data will be;
8, 9, 12, 12, 13, 15, 16, 16, 16, 18, 21, 22, 23, 27, 28, 32, 34, 40,55
Q1 = N+1/4 the value
N is the sample size = 19
Q1 = 19+1/4
Q1 = 20/4
Q1 = 5th value
The 5th value in the data is 13, hence Q1 is 13
Q3 = 3(N+1)/4th value
Q3 = 3(19+1)/4
Q3 = 60/4
Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28
IQR = 28-13
IQR = 15 (if 55 was included)
Difference in IQR = 15-14 = 1
This means that if 55 was the missing data, the IQR will not change significantly.
Note that the range of the data will not change if the missing value is 22 because, the 22 is a value lower than the highest value of the dataset, hence the range will remain the same (40-8 = 32) irrespective of 22 missing or not.
For the Interquartile range
If 22 was in
Q3 = 3(N+1)/4th value
Q3 = 3(19+1)/4
Q3 = 60/4
Q3 is the 15th value in the dataset. Since the 15th value is 28, Q3 is 28
IQR = 28-13
IQR = 15 (if 55 was included)
Difference in IQR = 15-14 = 1
This means that if 55 was the missing data, the IQR will not change significantly.
Based on the calculation, the correct options are:
- If the missing data value was 55, the range of the data would change significantly
- If the missing data value was 22, the interquartile range of the data would change significantly
Answer:
a
Step-by-step explanation:
edge 2021
Which of the following statements correctly compares the two numbers?
1.025 5.072
6.403 > 6.43
8.962 < 8.692
Answer:
do you still need help ??
A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?
The rate of descent was ____ feet per minute.
Please help ASAP my assignment is due in less then an hour.
Answer
The rate of descent was 59.5 feet per minute
Step-by-step explanation: