Question

question given the definitions of f(x) and g(x) below, find the value of g(f(2)). f(x) = 2x² - x - 9 g(x) = 4x + 1 answer attempt 1 out of 2 submit answer

Explanation:

Step1: Calculate f(2)

Substitute \( x = 2 \) into \( f(x)=2x^{2}-x - 9 \).
\( f(2)=2\times(2)^{2}-2 - 9=2\times4-2 - 9 = 8 - 2 - 9=-3 \)

Step2: Calculate g(f(2))

Substitute \( f(2)=-3 \) into \( g(x)=4x + 1 \).
\( g(-3)=4\times(-3)+1=-12 + 1=-11 \)

Answer:

\(-11\)