Question

question given the definitions of f(x) and g(x) below, find the value of (g ∘ f)(4). f(x) = -x + 10 g(x) = x² - x - 11 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Find \( f(4) \)

We know that \( f(x) = -x + 10 \). Substitute \( x = 4 \) into \( f(x) \):
\( f(4) = -4 + 10 = 6 \)

Step2: Find \( g(f(4)) \) which is \( g(6) \)

We know that \( g(x) = x^2 - x - 11 \). Substitute \( x = 6 \) into \( g(x) \):
\( g(6) = 6^2 - 6 - 11 = 36 - 6 - 11 = 19 \)

Answer:

19