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}.
Answer and Explanation: 1
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View this answerThe value of {eq}(g \circ f)(-2) {/eq} is equal to the value of {eq}g(f(x)) {/eq} at {eq}x=-2 {/eq}.
First, we have to substitute {eq}x=-2 {/eq}...
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Chapter 8 / Lesson 5Learn how to evaluate composite functions. Explore what a composite function is, the process for how to solve composite functions, and view some examples.