can someone please help me with this

Step-by-step explanation:

since g(f(x)) = x g (f (x) )= x, f - 1 (x) = 5x3 + 43 f - 1 (x) = 5 x 3 + 4 3

The inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by [tex]f^{-1}[/tex] or [tex]F^{-1}[/tex].

According to the given equation.

We have a function.

[tex]f(x) = 3(x-4)^{2} +5[/tex]

The above function can be written as

[tex]y = 3(x-4)^{2} +5[/tex]

Write the above function for x.

[tex]\implies y -5 = 3(x-4)^{2}[/tex]

[tex]\implies \frac{y-5}{3} = (x-4)^{2}[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } =x-4[/tex]

[tex]\implies \sqrt{\frac{y-5}{3} } +4=x[/tex]

[tex]0r\ x = \sqrt{\frac{y-5}{3}}+4[/tex]

Replace [tex]x[/tex] by [tex]f^{-1}(x)[/tex] and [tex]y[/tex] by [tex]x[/tex].

We get

[tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex]

Hence, the inverse of the given function [tex]f(x) = 3(x-4)^{2} +5[/tex] is [tex]f^{-1} (x) = \sqrt{\frac{x-5}{3} } +4[/tex].

Find out more information about the inverse of the function here:

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Answer:

0

Step-by-step explanation:

Anything times 0 will be 0.

Answer:

∠4 = 110

Step-by-step explanation:

∠3 + ∠5 = 180    {Co-interior angles are supplementary}

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180    {Combine like terms}

-2y + 230 = 180

Subtract 230 from both sides

-2y = 180 - 230

-2y = -50  

Divide both sides by (-2)

  y = -50/-2

y = 25

∠5 = 210 - 4y

      = 210 - 4*25

       = 210 - 100

∠5 = 110

∠4 = ∠5    {Alternate interior angles are equal}

∠ 4 = 110°

Answer:

Step-by-step explanation:

110

And???? What are we computing, you just gave me a fact.

Step-by-step explanation:

the straight angle ;

180 - 42 = 138

The isosceles triangle ;

138 + x + x = 180

2x = 42

x = 21

pllease give me a brainliest answer

Answer: 13/14 = 169/182

Step-by-step explanation:

If you do 13 x 182 = 2,366

And then do 14 x 169 = 2,366

Making both sides equal if you multiple the numerator by denominator using cross multiplication

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.

The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.

The fraction number is given below.

⇒ 13/14 and 169/182

Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,

⇒ (13 x 13)/(14 x 13)

⇒ 196 / 182

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

More about the Algebra link is given below.

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Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

[tex]M = t\frac{s}{n}[/tex]

Then:

[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

Then

[tex]\overline{x} - M = 15 - 6 = 9[/tex]

[tex]\overline{x} + M = 15 + 6 = 21[/tex]

The confidence interval is (9, 21).

A similar problem is given at https://brainly.com/question/25157574

Answer:

Line 1

Line 2

Line 3

Answer:

Step-by-step explanation:12-4=8

Answer:

Step-by-step explanation:

2) 133 + a = 180 {Linear pair}

            a = 180 - 133

           a = 47

a +b = 180   {linear pair}

47 + b = 180

      b = 180 - 47

      b = 133

x = b + 30   {Exterior angle property}

x = 133 +30

x = 163

3) m + 35+ 35 = 180 {Angle sum property of triangle}

m + 70 = 180

m = 180 - 70

m = 110

z = 35 {alternate interior angles are congruent}

x = m + z

x = 110 + 35

x = 145

Answer: I believe those would be opposite angles (aka vertically opposite angles).

Answer:

7. F=24N

8. P=16N

Step-by-step explanation:

the sum of all forces will equals 0

Answer:

a= 11

Step-by-step explanation:

9a+ 6°+75° =180° (straight angle, they are called supplementary angles. so sum is equal to 180°

9a +81 = 180

9a= 99

a= 11

Answer:

y = -3x - 6

Step-by-step explanation:

Answer:

The population would probably be 40%

Step-by-step explanation:

10 x 2 = 20

20 x 2 = 40

So, instead of increasing by 10% every year, the population from the previous year just doubles. Sorry if I'm wrong!

The common difference is the amount between each number in an arithmetic sequence.

For example, the sequence 4,7,10,13,... has a common difference of 3.

Answer:

Assuming you mean 7 divided by 9/7, the answer would be 5 4/9. If you can clarify your question though if I'm wrong, I'd love to redo the problem and get you the right answer! ^-^

Step-by-step explanation:

Answer:

Translation followed by a Rotation.

Step-by-step explanation:

Answer:

a.

Step-by-step explanation:

25x^2-15x+25

=5(5x^2-3x+5)

b.

14xy-7x

=7x(2y-1)

5.a.

7x-4=24

or,7x=24+4

or,7x=28

or,x=28/7

therefore x=4

b.

4y+4=y+16

or,4y-y=16-4

or,3y=12

or,y=12/3

therefore y=4

Step-by-step explanation:

q 5)

a) as it's an Isosceles triangle so both the given sides are equal

so, a/q

→ 7x - 4 = 24

→ 7x = 24 + 4 = 28

→ x = 28/7 = 4

→ x = 4

therefore, value of x is 4.

b) 4y + 4 = y + 16

→ 4y - y = 16 - 4

→ 3y = 12

→ y = 12/3 = 4

→ y = 4

therefore, value of y is 4.

hope this answer helps you dear!

Step-by-step explanation:

It's B.You want a explaination ???

Answer:

£150.96

Step-by-step explanation:

Multiply 6.29 by 8. This is how much she makes a day.

(£50.32)

Multiply £50.32 by 3 because she works for 3 days.

(£150.96)

Answer:

Jeremy swims 4/5 of a kilometer each day.

Step-by-step explanation:

Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.

Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.

Answer:

Well in this case the solution would be x = 19/9, I hope this helps! :)

Answer:

The answer is 5,368,709,120

Answer:

The answer is -6 3/5! Hope this helps you.

Answer:

The x coordinate of S is b.

Step-by-step explanation:

a)

The coordinates of Point Q are:

(2a+2b)/2, 2c/2

= [(a + b), c].

The slope of the line AB

= (0-2c)/(2b-2a)

= -c/(b-a)

So The slope of the line QS = (b - a) / c = (b - a)/c.

Its equation is

y - c = (b - a)/c ( x - (a+b))

y = (b - a)/c ( x - (a+b)) + c.

The coordinates of Point P are:

(2a+0)/2, 2(c+ 0)/2

= (a, c)

The slope of the line AO

= (2c)/2a

= c/a

So The slope of the line PS = -a/c

Its equation is

y - c =  -a/c(x - a)

y  =  -a/c(x - a) + c

b)

So:

(b - a)/c ( x - (a+b)) + c

=  -a/c(x - a) + c

(b - a)(x - a - b) + c^2 = -a(x - a) + c^2

(b - a)(x - a - b) = -a(x - a)

bx - ab - b^2  - ax + a^2 + ab = -ax + a^2

bx - ax + ax + a^2 - a^2 - ab + ab = b^2

bx  =  b^2

x = b = the x coordinate of S.

c). The point R has the same x coordinate as S So RS is perpendicular to OB.

Answer:

Step-by-step explanation:

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\dfrac{-8y^{10}}{2y^{5}}=\dfrac{-4y^{10}}{y^{5}}=-4*y^{10-5}= -4y^{5}[/tex]

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Answer:

the height of the parent is 1.95 meters.

Step-by-step explanation:

divide 9 by 6 to get 1.5

multiply 1.5 by 1.3 to get the height of the parent

1.95m

your answer is correct

Answer:

The child's height is 6 cm

The parent's height is 9 cm

And now the child's height again 1.3 cm

And the parents height is 3.9

Step-by-step explanation: I think it's supposed to be that so yeah.