Evaluate (f ∘ g)(x) if f(x) = 2x^2 and g(x) = 3x – 2.

Question

Evaluate (f ∘ g)(x) if f(x) = 2x^2 and g(x) = 3x – 2.

a. 6x 2

b. 3x 2

c. 5x^{2} + 3x

d. 6x + 12x 4

e. 18x 24x + 8

Answer 1

Solution:

( f o g) (x) = f ( g(x) ) = f( 3x-2) = 2( 3x-2)² = 2( 9x² - 12x + 4) = 18x² -24 x + 8 answer is E