Question

question given the definitions of f(x) and g(x) below, find the value of f(g(-3)). f(x) = 3x² - 7x - 3 g(x) = -x - 4 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Calculate \( g(-3) \)

Substitute \( x = -3 \) into \( g(x) = -x - 4 \).
\( g(-3) = -(-3) - 4 = 3 - 4 = -1 \)

Step2: Calculate \( f(g(-3)) = f(-1) \)

Substitute \( x = -1 \) into \( f(x) = 3x^2 - 7x - 3 \).
\( f(-1) = 3(-1)^2 - 7(-1) - 3 = 3(1) + 7 - 3 = 3 + 7 - 3 = 7 \)

Answer:

\( 7 \)