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Define what an inverse function is in terms of domain and range.

and

Define what a function is in terms of domain and range.

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Answer:

Step-by-step explanation:

Let's start with a function first.  The domain of a function is all the x values that are covered by the graph of the function; the range is all the y values that are covered by the graph of the function.

In order to graphically find the inverse of a function, you literally switch the x and y variables and replot them.  For example if a point on your function is

(3, -1), then the point on its inverse is (-1, 3).  Because of this, you interchange the domains and the ranges.  Therefore, the domain of a function is the range of its inverse, and the range of a function is the domain of its inverse.

The domain of the inverse function f⁻¹(x) will be (c, d) and the range of the inverse function f⁻¹(x) will be (a, b).

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

Let the function be f(x).

Let the domain of the function f(x) is (a, b) and the range of the function f(x) is (c, d).

The inverse function of f(x) will be f⁻¹(x).

Then the domain of the inverse function f⁻¹(x) will be (c, d) and the range of the inverse function f⁻¹(x) will be (a, b).

More about the domain and range link is given below.

https://brainly.com/question/12208715

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