Question

What is the composition f(g(x))iff(x) = 5x and g(x) = 2x – 1.?10x - 1

Answer 1

Given the functions;

f(x) = 5x

g(x) = 2x-1

Required

The composite function f(g(x))

f(g(x)) = f(2x-1)

To get f(2x-1), we are to replace x with 2x-1 in f(x) as shown;

f(2x-1) = 5(2x-1)

Open the parenthesis;

f(2x-1) = 5(2x)-5(1)

f(2x-1) = 10x - 5

f(g(x)) = 10x - 5

Hence the composition f(g(x)) is 10x - 5