Show that the functions are inverse functions of each other.                                  f(x) = 2x3 − 1 and g(x) =3√( x + 1)/ 2

Q: Show that the function y = f (x) =-2x +4 is one-to-one and find its inverse function.

A: Here function  fx=-2x+4

Q: f(x) = 2x + 1

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Q: Find the inverse function of the function f(x)= 3x3 on the domain x > 0.

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Q: (a) Find a formula for the inverse of f(x) = 1-er

A: Given function: fx=ex1-ex

Q: show that the function f(x) = (x − 1)e^x^2 has an inverse, and find (f^-1)' (0).

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Q: The inverse of the function f(x)=3x−4 is f^−1(x)=

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Q: 11. Find the inverse of the function f (x)= 3x – 2 4x + 5

A: The solution are next step

Q: Find the inverse of the function f(x) = 2x+1 3x−4

A: Consider the function fx=2x+13x-4.

Q: Find the inverse of the given function and then prove; f(x) =   7x + 3

A: A function g(x) is said to be inverse of function f(x) if it satisfies: f∘g=I g∘f=I where ∘…

Q: Find the inverse of the function on the given domain. f (x) = (x – 16)2, [16, 0)

A: Given that f(x)=(x-16)2

Q: Find the inverse of the function  f(x) = −8x + 17

A: Given, y = f(x) = -8x+17 For inverse of the function, Interchange the variables x and y and solve…

Q: Find an inverse of the function f(x) 2x-3 f(x) = %3D x +1

A: Given that, f(x)=2x-3x+1 Let us right f(x)=y then to find inverse write x in terms of y. y=2x-3x+1

Q: find the inverse of the function  f(x)=4x^3+8 f^-1(x)=

A:

Q: Find a formula for the inverse of the function. 4x f(x) = 2x + 3

A: The steps of finding the inverse of a function. Step 1: Substituting f(x)=y. Step 2: Interchange the…

Q: Find the inverse function of f. f(x) = 9 − 4x/12x − 1

A: Given,

Q: is given the function f (x) = 6x-3, its inverse function at the point x = -3, so f-¹ (-3) is: a) -6…

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Q: Find a formula for the inverse of the function. f(x) = 2 + V4 + 5x f-1(x) = ||

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Q: Show that the function f(x) = (x – 1)e"² has an inverse, and find (f-1)' (0). %3D

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Q: Find the inverse of these two f(x) = ( -xe^-x)-e^x f(x)= (10x^3)-(15x^4 )+6x^5

A: Consider the given function. Replace y by x.

Q: The inverse function of f(x) = 4x + 2 is %3D f-1(2) =

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Q: Find the inverse function of f. f(x) = 5x + 6 %3D f-1(x) =

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Q: (a) Find a formula for the inverse of f(x) = Vx – 3

A: On solving this we will find inverse function and domain that will be

Q: The function f(x) = x - 3 / x - 4 , x ≠ 4, is one-to-one. Find its inverse function.

A: Given: fx=x-3x-4 , x≠4 is one to one function.

Q: Find the inverse of the function f(x)=4x^2-9 with domain x less than or equal to 0. f^-1(x)=

A: We have to find inverse of f(x)  in given interval .f(x) and interval is given by:

Q: Find the inverse function of f(x)= -4x – 6 x- 6 A) g(x)=--x+ D) g(x)=- x+6 B) g(x)= - 4 E) g(x)=--…

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Q: Find a formula for the inverse of the function.  f(x) =  (4x - 1 )  / (2x + 3 )

A: f(x)=4x-12x+3Steps to find the inverseLet f(x)=yswitch x and y and solve for y.

Q: Given: f(x) = 4x+6 over 5x+5 find the inverse function , f^-1(x)

A: Topic : Function

Q: The function f(x) = –4 Vx – I + 7 x > 1 has an inversef-'(x) defined on the domain x < 7. Find the…

A: Explained below

Q: Find a formula for the inverse of the function. f(x) = 2 + V 3 + 4x %3D

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Q: find the inverse of the function f(x)=2x+3/1-5x

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Q: Find the inverse of the function  f(x)=e^-4x

A: Given function is  f(x) = e-4x

Q: Find the inverse function of f. 8x + 4 f(x)= x- 9 f-1(x) =

A: To find the inverse of the function f(x)=8x+4x-9

Q: Given the function f(x)= |x-1|: (a) explain why f(x)= |x-1| does not have an inverse function over…

A: Given fx=x-1

Q: provided. Find the inverse function of the function f (x) = 2x – 3. - f-1 (x) =

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Q: Find the inverse function of f.

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Q: Find a formula for the inverse of the function.  f(x) =  e 2x -1

A: Given:          fx=e2x-1 To find the inverse proceed as follows:        fx=e2x-1 First, set plug y…

Q: Given f (æ) = 3x + 2 and g (æ) = x - 1. Find f (g (x)). 2. Find g (f (x)). 3. Are the functions…

A: The functions are given by f(x) = 3x+2 and g(x) = 13x-23 To evaluate : 1. fgx2. gfx3. Are the…

Q: Find the inverse function of f. 8x +4 f(x) 1- 5x f(x) =|

A: Solve for the inverse of the function

Q: Find the inverse function of f(x) = √(2x − 3)

A: Consider a function fx: let domain of fx be A and range be B, then f:A→B is a function defined as:…

Q: The inverse function of f(x) 8x + r-1 11 – 8x 8x – 6 -

A: We have,  f(x)=6x+118x+8 Now, we need to obtain the inverse of this function. The inverse of the…

Q: Find the inverse function of f.

A: Given,          fx=2x+31-5x

Q: Find the inverse function of f. f(x) =  7x − 8 9x + 1 f −1(x) =

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Q: The function f(x) = 2(5x-1)3 +8 has an inverse. Find f-¹(x).

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Q: Find a formula for the inverse of the function.  f(x) = ln (x+3)

A: We have to find the inverse of the function: fx=lnx+3 To find inverse of any function we equate that…

Q: Find the inverse function of f(x) = 12 + x. f-1(z) =

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Q: 2 a) Determine the inverse of the function f (x) = ÷+ +1. 3x %3D

A:

Q: We want to determine whether f(x).= 3x+ 6 and g(x) = x- 2 are inverse functions. %3D Find f(g(x).

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Q: Find the inverse function of f. 6 - 4x f(x) 12x - 1 r(x) =

A: Given function is To find inverse function of , we set f(x)=y and solve for y. Therefore,