Question

Given f(x)=3x+2 and g(x)= √x-1, determine the following: f(g(x))=

Answer 1

Answer:To find f(g(x)), we first substitute g(x) into the expression for f(x), then simplify:

f(g(x)) = f(√x-1)

= 3(√x-1) + 2 (substitute √x-1 for x in the expression for f(x))

= 3√x - 3 + 2

= 3√x - 1

Therefore, f(g(x)) = 3√x - 1.

Explanation: