Question

Two functions, f and g are defined on R, the set of real numbers, by f(x)=x²-5 and g(x) = 3x - 1. Find f(g(x)).​

Answer 1

f(g(x)) = 9x² - 6x - 4

Explanation:

f(g(x) )

= f(3x - 1)

= (3x - 1)² - 5 ← expand factor using FOIL

= 9x² - 6x + 1 - 5

= 9x² - 6x - 4