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)
Question:
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:
- Substitute value of one of the functions in the independent variable of the other function.
- Evaluate the function the through mathematical operations .
- 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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View this answerGiven {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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Chapter 6 / Lesson 5Learn 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.