Question

Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other (pls include work and a simple how-to)
1. f(x)
4x and g(x) = x/4

Answer 1

Answer:

• Yes

Step-by-step explanation:

Given:

• f(x) = 4x
• g(x) = x/4

Find the following:

• f(g(x)) = 4*g(x) = 4*x/4 = x
• g(f(x)) = f(x)/4 = 4x/4 = x

Since f(g(x)) = g(f(x)) = x, the functions are inverses of each other.

Answer 2

• f(x)=4x
• g(x)=x/4

$\\ \sf\longmapsto f(g(x))=4(x/4)=x$

$\\ \sf\longmapsto g(f(x))=4x/4=x$

• f(x) and g(x) are inverse of each other