Given the functions below, find the domain of (f ° g)(x). 1 f(x) = 1 g(x) : -5x + 8 -x + 1

Q: Does the graph represent a function that has an inverse function? No Yes

A:

Q: What are the rules for shifting, stretching, compressing, and reflecting the graph of a function?

A: To shift c units right, f(x) becomes f(x-c) To shift c units left, f(x) becomes f(x+c)   To stretch…

Q: How to form a piecewise function by using linear function?

A: The piecewise function can be formed using linear functions as shown below.

Q: What is a piecewise function?

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Q: Define the domain of f −1 as the range of f.

A: Domain of inverse function

Q: Give examples of functions producing every possible output in the last component (i.e.…

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Q: Describe the relationship of input and output values for composite functions

A: Use the definition of composition of two functions.

Q: Is the following the graph of a function of x? Why or why not? -2 0

A: This is a circle with center at (0, 0) and radius a where 1 < a < 2. [Can be seen from the…

Q: hat is the degree of the p 9

A:

Q: Explain what it means for a function to be (1) and give an example of such a function.

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Q: How do you find piecewise functions

A: A piecewise function is  defined by multiple sub-functions, where each sub-function applies to a…

Q: What is the rangqe of this function?

A: The given graph of the function is:

Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2