2 +2 The inverse of the function f(x)= :² – 2 is

Q: f (x) and g(z) are inverses of each other. f (-2) = 13. What is g (13)?

A: Given: The functions f(x) and g(x) are inverses of each other. f(-2) = 13   To determine: The value…

Q: f(x)=(x-2)^2,[2,infinity)   Find the inverse

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Q: 3x+3 2. Write f(x) = as the composition of two functions, g(x) and h(x). %3D e+1

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Q: f(x) = 4x + 9x- 3 has an inverse g(x). %3D Use g '(x) = 1 to find g '(-3). %3D f'(g(x)) g'(-3)=

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Q: 2x+3 (1) Find the inverse of the function f(x)=: x-4 (2) Solve the following (i) | 7–6x|>34 (ii) x²…

A: To solve the given examples of function and inequality.

Q: 2x+3 (1) Find the inverse of the function f(x) = x-4 (2) Solve the following (i) | 7 – 6x |> 34 (ii)…

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Q: 2x +1 Find the inverse of f(x) - 2x + 4 f'(z) =

A: Explanation of the answer is as follows

Q: Simplify f(x) = x2e2x – e2x – x2 + 1 = 0.  This function is 0 at x=-1,0,+1, but that is difficult to…

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Q: 3 and g(x) =+ 4, find f(g(x)) and g(f(x)), hence or 3 (5) For the functions f(x) : х — 4 otherwise…

A: Given functions are, fx=3x-4 and gx=3x+4. Now, fgx=f∘gx. f∘gx=f3x+4f∘gx=33x+4-4f∘gx=33xf∘gx=x Now,…

Q: 4 Consider the function f(x) = 4x - 1. Determine whether the inverse of f is a function. Then, find…

A: Since you have posted more than one question  we have solved the first question for you.  For…

Q: 5-3x 5-2x Verify if f(x) = and g(x) = 2 are inverses. 3 %3D

A: Here we have to verify the given function are inverse of each other,  We have, f(x)=5-3x2 and…

Q: 4x +1 Find the inverse of f(x) -5x – 1 f "(x) =

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Q: 3. Find the inverse of f(x) = -3(x – 2) %3D

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Q: x* - 3 Find the inverse of the function f(x) %3D

A: Concept - Step (1) - Solve for x.Step (2) - Replace x with f-1x and f(x) with x.

Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

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Q: 3r + 3z-5 Evaluate f(a) at a -4.

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Q: Show steps to solve. 8) Find the inverse of the function f(x) = Vx+2 algebraically. %3D

A:

Q: T(x) = 6(x- 3) + 25, where x> 3 E(x) = 25, where 0sxs3 Explain how to find the inverse of T(x) and…

A: Given T(x)=6(x-3)+25,    x>3E(x)=25,  0≤x≤3

Q: x² +1 Find the inverse function f (x) for f(x) = 2 a) x-1 b) 2x +1 2х -1 d) x+1

A: The inverse function can be calculated by substituting x by y and y by x. Then solve for y. The…

Q: 4. Graph the functions f (x) = 2(x + 6)² + 2 and its inverse.

A: The given function is f(x) = 2(x+6)2 + 2  When we put x = 0, the value of f(x) comes out to be…

Q: Intultively, give the inverse function of each of the fol 1. f(x) = x+2 2. g(x) = 12x - 1 3. h(x) =…

A: In this question we have to find the inverse of the given functions. fx=x+2gx=12x-1hx=-x4

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

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Q: x-1 B) Find the inverse of the function f(x)=",-+5 algebraically. 3

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Q: 5. Find the inverse functions of these real functions. (a) f(x)= x/5+5 (b) f(x) = 3r* + 2

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Q: 2x +3| (1) Find the inverse of the function | f(x)= X-4 (2) Solve the following (i) | 7–6x|> 34 (ii)…

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Q: 3b.

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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: fx) = 3r+ 4x-3 has an inverse g(x). Use g '(x) = 1 to find g '(-3). %3D S'g(x)) g'(-3)=

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Q: 2x - 3 Find the inverse of f(x). 5x + 4 f(2) = | %3D

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Q: The inverse of function f(x) = x3 + 2 is а) f-1 (y) %3 (у - 2) 1/2 b) f-1 (y) = (y – 2) 1/3 c) f-1…

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Q: 6x- 3 Given: f(x) 3x +1 Find the inverse function, f'(x).

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Q: 2r-5 Find the inverse Function to the function f (x): 3z+1

A: Given,  f(x)=2x-53x+1

Q: 8x + 6 The inverse function of f(x) = is f-1(x) = 7x + 8

A: The inverse of a function f denoted by f-1 is that function g such that, fgx=gfx=x for all real…

Q: 2) a. Find the inverse of the function f(x) = -8x + 17 %3D

A: From the given information, Consider, f(x) =Y Whereas,  f(x) = -8x +17 Thus, the inverse of can be…

Q: 2-7x Find the inverse function of f(x)= 9-5x 9-5x O a. 2-7x 9x +2 O b.f(x)= 5x +7 Oc.f(x) = %3D 5-…

A: Write f(x)=y, then switch x and y. f(x)=2-7x9-5xy=2-7x9-5xx=2-7y9-5y

Q: 3z +2 Find the inverse of f(z) 2z +5 g(2) = %3D

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Q: 2x-3 5. Let f(x) = find 3x+4 Ax as Ax -0

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Q: 2x-3 5. Let f(x) = find as Ax - 0 Ax 3x+4'

A: Given that: f(x)=2x-33x+4

Q: f(2) = %3D if f(x) = 8 then x = %3D f-(5) = %3D if f(x) = 1 then a =

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Q: 2x 1. Let f(x) = x2 - 5. and g(x) 3x-4

A: Consider the given functions:

Q: 2. Find the inverse of the one-to-one-function. Show all four steps. f(x) = x3 + 4

A: In this question we have to find the inverse of the one-to-one function.

Q: f(x) = 3 ( x – 5 ) 4 + 121 Find its inverse function f-1

A: Given function is f(x)=3(x-5)4+121  For calculating inverse of a function y=f(x), we swap x and y,…

Q: nat is the inverse of g(x) = 1 – 3x? g-1(x) = g-1(x) = x-1 3 O Option 2 otion 1 -"(x) = 1+x 1-x…

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Q: Inverse function rule    do B.

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Q: f(x)=[2x+1] find f(-3,2)

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Q: 4. A) Find the inverse of the function f(x) = 4x³ - 2 %3D B) What is the value of f'(30)? (Use 30 as…

A: function and inverse functions

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

A: Here we have to find the Inverse of the given function. Let f(x)=y, then find an expression for x in…

Q: 3x (2) Determine the inverse of the function ƒ(x)= 2x -5

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: