For {eq}f(x) = (x -1)^3 {/eq} and {eq}g(x) = 1-6x {/eq}. Find the following.

a) (f o g)(x)

b) (g o f) (x)


For {eq}f(x) = (x -1)^3 {/eq} and {eq}g(x) = 1-6x {/eq}. Find the following.

a) (f o g)(x)

b) (g o f) (x)

Composite Function:

Functions are relationships that exist between two variables. If we have two or more functions, we can find composite functions through the following steps:

  1. Substitute value of one of the functions in the independent variable of the other function.
  2. Evaluate the function the through mathematical operations .
  3. Present the obtained composite function.

We can perform mathematical operations with composite functions, such as entering their domain, range, ordered pairs, and graph.

Answer and Explanation: 1

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Given {eq}f(x) = (x -1)^3 {/eq} and {eq}g(x) = 1-6x {/eq}, it is required to find {eq}(f o g)(x) {/eq} and {eq}(g o f)(x) {/eq}.

  • {eq}a) \ (f o...

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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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