The inverse of a function reverses the operation of a function
The statement that provides the correct analysis of Maggie's claim is the following option;
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)
Question: The functions in the question are presented as follows;
[tex]g(x) = \dfrac{x}{3} - 4[/tex]
f(x) = 3·x + 4
Required:
The statement that provides a correct analysis of Maggie's claim
Solution:
The inverse of f(x) is found as follows;
y = 3·x + 4
[tex]x = \dfrac{y - 4}{3}[/tex]
Therefore;
[tex]f^{-1}(x) = \dfrac{x - 4}{3}[/tex]
The inverse of a function above was found by making x the subject of the
function f(x), therefore, when the inverse f⁻¹(x) is substituted into all
occurrence of x in f(x), we get x
However, when g(x) is substituted into every occurrence of x in g(x), we get;
[tex]f \left (g(x) \right) = 3 \times \left (\dfrac{x}{3} - 4 \right)+ 4 = x - 8 \neq x[/tex]
Therefore, the given function g(x) is not the inverse of the function f(x) and the correct option is as follows;
Maggie's claim is incorrect because when g(x) is substituted into every occurrence of x in f(x), f(g(x)) = x - 8; therefore, g(x) is not the inverse of f(x)
Learn more about inverse of a function here:
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If point P(3,-2) is rotated 90° about the origin, what is the
image of P?
Answer:
( -3, -2 )
Step-by-step explanation:
Rate me branliest please :)
(2a^3)^4(a^3)^3
simplify
Answer:
16a^21
Step-by-step explanation:
Answer:
16 a^21
Step-by-step explanation:
= (2a^3)^4 (a^3)^3
= (2^4 a^3*4) (a^3*3)
= (16a^12) (a^9)
= 16 a^21
This is very hard omg guys im gonna have a heart attack because of this question. 1+1=?
D=R(100-x)/100 for R
[tex]\sqrt{\frac{25y^{2} }{6x}[/tex] Simplify. Please show ALL work! Will mark Brainliest
Answer:
// Build on Thu Oct 20 21:06:21 CEST 2011 for language "en"
myHostname = window.location.hostname;
var myTLD = "." + myHostname.substring(myHostname.indexOf("wupload") + "wupload.".length).split(".")[0];
function afterLoad() {
return
}
ieFixForFileSelectionOnChangeEventTimer = null;
function ieFixForFileSelectionOnChangeEvent(a) {
$("#siteName").toggle();
if ($("#inputFileSelection").val() == "") {
ieFixForFileSelectionOnChangeEventTimer = setTimeout("ieFixForFileSelectionOnChangeEvent()", 200)
} else {
$("body")[0].focus()
}
}
function urlencode(a) {
return escape(a.toString().replace(/%/g, "%25").replace(/\+/g, "%2B")).replace(/%25/g, "%")
}
Step-by-step explanation:
// Build on Thu Oct 20 21:06:21 CEST 2011 for language "en"
myHostname = window.location.hostname;
var myTLD = "." + myHostname.substring(myHostname.indexOf("wupload") + "wupload.".length).split(".")[0];
function afterLoad() {
return
}
ieFixForFileSelectionOnChangeEventTimer = null;
function ieFixForFileSelectionOnChangeEvent(a) {
$("#siteName").toggle();
if ($("#inputFileSelection").val() == "") {
ieFixForFileSelectionOnChangeEventTimer = setTimeout("ieFixForFileSelectionOnChangeEvent()", 200)
} else {
$("body")[0].focus()
}
}
function urlencode(a) {
return escape(a.toString().replace(/%/g, "%25").replace(/\+/g, "%2B")).replace(/%25/g, "%")
}
What is the slope of the line?
A. 3/4
B. -3/4
C. -4/3
D. 4/3
Answer:
d, you go up for and over 3
A scale model drawing of a garage is 6 centimeters wide and 9 centimeters long. The scale model uses a scale in which 3 centimeters represents 1.8 meters.
What is the area of the actual garage?
A) 10.80 m²
B) 19.44 m²
C) 30 m²
D) 54 m²
Answer:
B
Step-by-step explanation:
i got the same question and got it right.
Solve for n.
3(n+1) = 5.4
Answer:
0.8
Step-by-step explanation:
Start solving.
3n + 3 = 5.4
Simplify
3n = 2.4
Simplify
n = 0.8
Answer:
0.8
Step-by-step explanation:
Can someone please help me
Answer:
Y=.833x-2
Step-by-step explanation:
correct y intercept and rise over run gives you the slope.
15 16 18 01:34:02 Kate begins solving the equation (6x – 3) = }(6x – 4). When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ? Her work is correct and is shown below. (6x – 3) = (6x – 4) O The equation has infinite solutions. O The equation has one solution: x = 0. 4x - 2 = 3x - 2 O The equation has one solution: x = 4 O The equation has no solution.
The true statement is that the equation has one solution; x = 0
How to determine the equation solution?We have:
2/3(6x – 3) = 1/2(6x – 4)
When 2 is added to both sides, the equation becomes
4x = 3x
Subtract 3x from both sides of the equation
x = 0
Hence, the equation has one solution; x = 0
Read more about equation solutions at:
https://brainly.com/question/14323743
(Give Brainliest)need ASAP
Answer:
the answer is 1/2
Step-by-step explanation:
Mean is add up all the numbers and divide by how many numbers there is, so -(2+5-10+15)/4, which is 2/4 or 1/2 plz mark brainliest hope this helps
Which weighs more: a pumpkin that weighs 3.2 kilograms, or a cat that weighs 9 pounds?
Answer:
The cat weighs more.
Step-by-step explanation:
1 pound is about 0.45 kilograms. If you convert 9lb to kilograms then you will get 4.08 kilograms, so the cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms, therefore the cat weighs more.
Part B What is the perimeter in units, of polygon UVWXYZ? Enter your answer in the box
Answer:
25 should be the answer.
Step-by-step explanation:
the answer to c^-5 x c^2
Answer:
[tex]\frac{1}{c^{3} }[/tex] or [tex]c^{-3}[/tex]
Step-by-step explanation:
[tex]c^{-5} * c^{2}[/tex] = [tex]\frac{1}{c^{5}}[/tex] * [tex]c^{2}[/tex] = [tex]\frac{c^{2} }{c^{5} }[/tex] ; simplify to [tex]\frac{1}{c^{3} }[/tex] = [tex]c^{-3}[/tex]
Lucy is knitting a blanket and needs to buy some more yarn. At her local craft store, 2 skeins of yarn cost 57 and 8 skeins of yarn cost $28. What is the constant of
proportionality in this direct variation?
a. 7/2
b. 2/7
c. 7
d. 2
Answer: it’s A 7/2 i just took this
Step-by-step explanation:
what is the area and perimeter of this rectangle? please help me! i put this at 14 points
Answer:
not sure of this answer, but -1215 as area, perimiter 24???
Step-by-step explanation:
I dont know how to do this math i just multiplied the number points and added them T_T im in middle school T_T
Answer:
first find the length of each side using the pythagorean theorem, then multiply the length of any two connected sides for the area. add the length of all four sides to get the perimeter
Step-by-step explanation:
The first five multiples of the number 3
Answer: 3,6,9,12,15
Step-by-step explanation:
Im not sure how to explain this but if you listen to school house rock multiple of three song it helps.
If a discriminant is negative, then the quadratic has:
A. 1 Real Solution
B: 2 Real Solutions
C: Half a Solution
D: 2 non-real Solutions
Step-by-step explanation:
the answer is
........b
Answer:
Answer is most likely to be B, hope this helps, stay safe :)
Step-by-step explanation:
Which of the following numbers does the 5 have a greater value
0.5 b. 0.05 c. 0.005 d. 0.15
Answer:
a
Step-by-step explanation:
Im building my first gaming pc soon, any recommendations/tips?
Answer:
get a nvidia 2600 rtx it a good graphics card and then get a i7 its a good cpu
Step-by-step explanation:
Write the equation for (3,6) in a point-slope form
Answer )Step-by-step explanation:
y
−
6
=
3
(x
−
3)
Answer:
y - 6 = m(x - 3)Step-by-step explanation:
Use the given point (3, 6)
But slope is not known, need it to be known or the second point to find it
y - 6 = m(x - 3)A computer store buys a computer system at cost of 572.40 cents the selling price was first at 9:54 but then the store was advised at 20% markdown on the system answer parts a and b
Answer: See explanation
Step-by-step explanation:
A. Find the current sale price. Round to the nearest cent if necessary.
B) Members of the stores loyalty club can and additional 10% off their computer purchases. How much do club members pay for the computer with their discount.
A. Current sales price will be:
= $954 - (20% × $954)
= $954 - (0.2 × $954)
= $954 - $190.80
= $763.20
B. Club members will pay:
= $763.20 - (10% × $763.20)
= $763.20 - (0.1 × $763.20)
= $763.20 - $76.32
= $686.88
During a sale, every item in a store is 80% of its regular price. 1.If the regular price of a T-shirt is$10, what is its sale price? 2.The regular prices of five items are shown here. Find the sale price of each item
Answer:
It could be $12.05.
Step-by-step explanation:
I don't really understand it but, i did 80% divided by 10 but it would be $0.08 and i don't think it would be that so i did 10 divided by 80 and it came out as $12.05.
i haven't done that in school so im not sure
Answer:
10
Step-by-step explanation:
5+5=10
please please help me
What do you think is the importance of having a hyperboloid structure in most of the power plants?
Answer:
Cooling Tower
A power plant consists of many components, but cooling towers are some of the most important. The function of a cooling tower is to release the excess heat (or waste heat) to the atmosphere by cooling down hot fluid (water, in most cases) to a lower temperature.
Step-by-step explanation:
8* x + y + y; use x=9, and y = 10
Answer:
If we have 8 * x + y + y:
We have to first substitute in x and y where they should be:
=> 8 * 9 + 10 + 10
According to the order of operations(PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction, multiplication and division is you go from left to right order, and same with addition and subtraction.)), we do the multiplication first(8*9):
=> 72 + 10 + 10
Now we just add them up:
=> 92
Anthony pald $273.20 for 4 new tires. What was the cost of each tire in dollars and cents?
F) $269.20
G) $6.83
H) $53.40
J) $68.30
Answer: J) $68.30
Step-by-step explanation:
$273.2/4=$68.3 for each tire
Answer:
J) $68.30
Step-by-step explanation:
Because there are 4 tyres, you split $273.20 into 4 parts, which is $68.30. I hope this helps!
please help :((, im just completely lost
Answer: -9/4
Step-by-step explanation:
First you subtract 7/2 from both sides of the equation
3x + 7/2 - 7/2= x - 1 - 7/2
Next what you do is simplify one you add 3 + 7/2 which is 9/2
Then you subtract X from both sides of the equation
3x - x = x - 9/2 - x
combine the terms
2x = -9/2
divide both sides of the equation by the same term
2x/2 = 9/2 / 2
cancel the terms and divide the numbers
x=-9/4
write £160 in the ratio 1 : 9
Answer:
£16 : £144
Step-by-step explanation:
Sum the parts of the ratio, 1 + 9 = 10 parts
Divide quantity by 10 to find the c=value of one part of the ratio
£160 ÷ 10 = £16 ← value of 1 part of the ratio , thus
9 parts = 9 × £16 = £144
Select the quadrant or axis where each ordered pair is located on a coordinate plane.
Please order them if you do answer!!
Answer:
Quadrant 3, Quadrant 1, Quadrant 2
Step-by-step explanation:
(-2 1/2, -7) is in quadrant 3 because Quadrant 3 is (-,-)
(0,6) is in Quadrant 1 because Quadrant 1 is (+,+)
(-5,0) is in Quadrant 2 because Quadrant 2 is (-,+)