Question

F(x)=2x+7
G(x)=3x^2-1
Which expression represents f(g(x))?
A 6x^2+5
B 6x^2 +12
C 3x^2-2x-8
D 3x^2 +2x+6

Answer 1

f(x) = 2x + 7
g(x) = 3x² - 1

f(g(x)) = 2(3x² - 1) + 7
f(g(x)) = 2(3x²) - 2(1) + 7
f(g(x)) = 6x² - 2 + 7
f(g(x)) = 6x² + 5

The answer is A.