Question

Let f(x) = x2 and g(x) = x − 3. Evaluate the expression.

(f ° g)(x)

A. x2 − 3
B. x2 − 6x + 9
C. 2x − 6
D. x2 + 6x + 9
Whats the answer?

Answer 1

B

Explanation:

To evaluate (f ￮ g)(x)

Substitute x = g(x) into f(x), that is

f(g(x))

= f(x - 3)

= (x - 3)² ← expand using FOIL

= x² - 6x + 9 → B