(a) f(x) x * 0 3x (b) f(x) = x + 4 %3D 1 (x) 3 x * 0 3x g (x) = x + 4 (g (x)) = O (g (x)) = 0 g( (x)) = 0 g( (x)) = 0 %3D Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other

Q: Suppose f(x)=6x−9 and g(y)=(y/6)+(9/6) (a) Find the composition g(f(x))= (b) Find the composition…

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Q: Find the inverse function

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Q: Show that f(x) = (x+1) /2 and g (x) = 2x -1 are inverses by finding f(5)g(5)(fog) (5) and (g o f)…

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Q: The function f-1 is an inverse function of ƒ if f(ƒ −¹(x)) = f−¹(f(x)). To verify, consider f(x) =…

A: given f(x)=5x-8 and

Q: Find the inverse function, g(y), of h(x) = √x+7. g(y) =

A: Given function is h(x)=x+74

Q: If f(x) = x + 8 and g(x) = x - 8, (a) f(g(x)) %3D (b) g(f(x)): %3D (c) Thus g(x) is called an…

A: Given,           fx=x+8           gx=x-8

Q: a. f(x) = 2x+9 %3D f-1(x) D %3D b. f(x) = 6x-2 %3D f-(x) = %3D C. f(x) = 3x-5 f-1(x) = d. f(x) = 4-…

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Q: Find inverse of the function g(x) = (x - 5)3 + 1. g(x)=cbrt(x+1)+5 g-1(x)=cbrt(x-5)+1…

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Q: If f(x) = x + 1 and g(x) = x – 1, (a) f(9(x)) || (b) g(f(x)) : (c) True or false: All inverse…

A: The answer is given below

Q: If f(x) = x + 7 and g(x) = x – 7, (a) f(g(x)) (b) g(f(x)) = (c) True or false: All inverse functions…

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

A: Given functions: f(x)=3x-4g(x)=3x+4 Function 'g(x)' is said to be inverse of function 'f(x)' only if…

Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: Which equation is the inverse of f (x) = 3x + 4? Af(x) = 4x – 3 1 4 f (x) = 3 B 3 Of (x) = 3x – 4 1…

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Q: The function h is given by h(x) = x5 + 3x - 2 and h(1) = 2. If h-1 is the inverse of h, what is the…

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Q: The inverse of the function f (x) = 3 – 2x is x+1

A: Solution of question is written in step2.

Q: If f(x) = x + 1 and g(x) = x – 1, – 1, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an…

A: NOTE: Refresh your page if you can't see any equations. . . now for the function f, substitute x-1…

Q: erse of f (x) = }x +1. w

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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: