Question

question
given the definitions of $f(x)$ and $g(x)$ below, find the value of $(g \circ f)(-2)$.
$f(x) = 2x^2 - 3x - 10$
$g(x) = 4x - 11$

Explanation:

Step1: Find f(-2)

First, we need to find the value of \( f(-2) \) by substituting \( x = -2 \) into the function \( f(x) = 2x^2 - 3x - 10 \).

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Step2: Find (g ∘ f)(-2) which is g(f(-2))

Now that we know \( f(-2) = 4 \), we substitute this value into the function \( g(x) = 4x - 11 \) to find \( g(4) \).

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Answer:

\( 5 \)