Question

What is the inverse of g? g(x) = 4 - x A) g -1 (x) = 4x B) g -1 (x) = 4 + x C) g -1 (x) = 4 - x D) g -1 (x) = 4 x

Answer 1

Answer:

B) g^ -1 (x) = 4 + x

Step-by-step explanation:

g(x) = 4 - x

Let g(x) =y

y = 4-x

To find the inverse, exchange x and y

x = y-4

Solve for y

Add 4 to each side

x+4 = y-4+4

x+4 =y

This is the inverse function

g^-1 (x) = x+4