(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: F(x) = 8x+5/8 G(x) = x-5/8 Are these two equations inverses of each other?

A: Consider the following inverse composition rule: The two functions fx and gx are inverse if: 1.fgx=x…

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

A:

Q: The derivative of f(x) 4 (x2 + 3x) is O -4x3 (2x + 3) -4x 2(2x + 3) 4 O 4a-2(2x + 3) 4.x + 12

A:

Q: If f(x) and g(x) are two functions defined by f(x) = √(x + 1) g(x) = | x - 1 |, then what is the…

A: To find f(g(9))

Q: What is the inverse of g(x) =1- 3x? %3D g- (x) = * X-1 g1(x) = %3D 3 3. O Option 1 O Option 2 g-1(x)…

A:

Q: g(x)=-4/x+1 inverse

A: The objective of this question is to find the inverse of the function g(x) = -4/(x+1).

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

A:

Q: Evaluate (fo g)(x) or f[g(x)] f(r) = 4x² + x + - 3 g(x) = 5x 5 (f o g)(x) = f[g(x) = %3D

A: Evaluate (f•g)(x) or f[g(x)] We apply going to apply here method of composite functions

Q: If f(x) = x + 7 and g(æ) = x - 7, %3D %3D (a) f(g(x)) %3D (b) g(f(x)) = (c) Thus g(x) is called an…

A:

Q: Let f(x) = 5x +1 and g(x) = X-1 Simplify the expressions f g g(f(4)), and g(f(x)). ...... g(f(4)) =…

A: The objective of the question is simplify the composition function at given point.

Q: If f(x) = x + 6 and g(x) = -6, %3D (a) f(g(x)) = (b) g(f(x)) = (c) Thus, g and f are functions.

A:

Q: If f(x) = x+5 and g(x) = x − 5, (a) f(g(x)) = | (b) g(f(x)) =

A:

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: Suppose f(x) = x2 + 1  and g(x) = x + 1    Then (f + g)(x) = (f - g)(x) = (f/g)(x) = (f ∘ g)(x) =…

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: