Question

Given the functions f(x) = 3x - 6 and g(x) = x^2 - 5x + 7, perform the indicated operation. When applicable, state the domain restriction. f(g(x))=? 1. 3x ^2 −x^2 −9x−42 2. 3x ^2 −15x+21 3. 3x ^2 - 15x+15 4. 3x ^2 −8x+1

Answer 1

f(g(x)) = f(x² - 5x + 7) = 3(x² - 5x + 7) - 6

= 3x² - 15x + 21 - 6

= 3x² - 15x + 15

Choice 3 is correct.

No restrictions on the domain.