Find ({eq}f \circ g )(-3){/eq} when f(x) = -3x + 4 and {eq}g(x) = 9x^2 + 6x - 2 {/eq}.


Find ({eq}f \circ g )(-3){/eq} when f(x) = -3x + 4 and {eq}g(x) = 9x^2 + 6x - 2 {/eq}.

Composite Function:

A composite function is one formed by substituting a function in the independent variable of the other. We solve it, performing the corresponding arithmetic operations and simplify, obtaining the result of the composite function.

We can evaluate a composite function with numerical values, substituting the value of the image, we solve the corresponding operations, obtaining its result, which we can express as an ordered para.

Answer and Explanation: 1

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Given {eq}f(x) = -3x + 4 , \ g(x) = 9x^2 + 6x - 2 {/eq}, it is required to find {eq}(f \circ g)(-3) {/eq}.

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Composite Function: Definition & Examples


Chapter 6 / Lesson 5

Learn to define composite functions and the composition of functions. Find out how to do composition of two or more functions. See examples of composite functions.

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