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The following tables represent a function and its inverse. Compare the functions.

h(x)





h–1(x)



Which statements describe the functions? Check all that apply.

The domain of h–1(x) is the range of h(x).
The range of h–1(x) is the range of h(x).
The x-intercept of h–1(x) is the x-intercept of h(x).
The x-coordinate of the x-intercept of h–1(x) is the y-coordinate of the y-intercept of h(x).
The maximum of h(x) is the largest x-value of
h–1(x).

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the 3 correct statements are:

  • The domain of h⁻¹(x) is the range of h(x).
  • The maximum of h(x) is the largest x-value of h⁻¹(x).
  • The x-coordinate of the x-intercept of h⁻¹(x) is the y-coordinate of the y-intercept of h(x).

Which statements describe the functions?

For a function f(x), we define the inverse function f⁻¹(x):

This means that, if for a given value of x = x₀ we have:

f(x₀) = y₀

Then:

f⁻¹(y₀) = x₀

From this, we can conclude that the domain of f(x) is the range of the inverse, and the range of f(x) is the domain of the inverse.

Then the statements that are correct are:

  • The domain of h⁻¹(x) is the range of h(x).
  • The maximum of h(x) is the largest x-value of h⁻¹(x).
  • The x-coordinate of the x-intercept of h⁻¹(x) is the y-coordinate of the y-intercept of h(x).

These 3 are the 3 correct statements.

If you want to learn more about inverse functions:

https://brainly.com/question/14391067

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