Question

choose the expression that represents the indicated composition.

(f(x) = 10x)

(g(x) = x - 3)

((f \circ g)(x) = ?)

(10x - 30)
(10x - 3)
(10x^2 - 30)
(10x^2 - 30x)

Explanation:

⚡ Using what you learned: Evaluating Composite Functions

Step 1: Set up the composition

$$ (f \circ g)(x) = f(g(x)) $$

Step 2: Substitute \( g(x) \) into \( f(x) \)

$$ f(x - 3) = 10(x - 3) $$

Step 3: Distribute and simplify

$$ 10(x - 3) = 10x - 30 $$

Answer:

\( 10x - 30 \)