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)).

Question

asked Jan 9, 2024 64.6k views

1 Answer

HelloToEarth · Answer 1 · 2024-01-15T14:39:44+0000

Answer:

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