# Evaluate the indicated function for {eq}f(x) = -x^2 + 3x - 10 {/eq} and {eq}g(x) = 4x + 1 {/eq}. {eq}(g \circ f)(-2) {/eq}

## Question:

Evaluate the indicated function for {eq}f(x) = -x^2 + 3x - 10 {/eq} and {eq}g(x) = 4x + 1 {/eq}.

{eq}(g \circ f)(-2) {/eq}

## Composite Functions:

Applying one function to another function is done using a composite function. The composite function {eq}(f \circ g)(x) {/eq} is evaluated using {eq}f(g(x)) {/eq}, which means that the expression for {eq}g(x) {/eq} is utilized as the value of {eq}x {/eq} for the function {eq}f(x) {/eq}. At the point {eq}x=c {/eq}, we have {eq}(f\circ g)(c) = f(g(c)) {/eq}.