A function and its inverse are shown on the same graph. A function and its inverse are shown on the same graph.

Which statement describes the relationship between the function and its inverse?
The slope of f–1(x) is the same as the slope of f(x).
The slope of f–1(x) is the opposite as the slope of f(x).
The x-intercept of f–1(x) is the same as the y-intercept of f(x).
The x-intercept of f–1(x) is the opposite as the y-intercept of f(x).

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facundo3141592 facundo3141592 · Answer 1 · 2022-07-20T19:39:04+02:00

Then the x-intercept of the inverse is the same as the y-intercept of f(x), this means that the correct statement is the third option.

On the image, we can see two linear equations, such that the orange one is f(x) and the blue one is the inverse.

If you follow the orange line, you can see that the y-intercept of f(x) is y = 1.
If you follow the blue line, you can see that the x-intercept of the inverse is x =1.

Then the x-intercept of the inverse is the same as the y-intercept of f(x), this means that the correct statement is the third option.

If you want to learn more about linear equations:

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