Question

question
given the definitions of f(x) and g(x) below, find the value of (g ∘ f)(4).

f(x) = -3x + 11

g(x) = 2x² - 2x + 14

answer
attempt 1 out of 2

Explanation:

Step1: Find \( f(4) \)

Substitute \( x = 4 \) into \( f(x)=-3x + 11 \).
\( f(4)=-3\times4 + 11=-12 + 11=-1 \)

Step2: Find \( (g\circ f)(4)=g(f(4)) \)

Substitute \( x = f(4)=-1 \) into \( g(x)=2x^{2}-2x + 14 \).
\( g(-1)=2\times(-1)^{2}-2\times(-1)+14=2\times1 + 2 + 14=2 + 2 + 14=18 \)

Answer:

\( 18 \)