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MrGumby

If (1, -3) is the point of the function, then the point of the inverse function would be (-3, 1).

Firstly, the notation being used above with the negative 1 denotes that it is an inverse function. Secondly, all inverse functions are just the ordered pairs of the original function in reverse. So, since we had -3 for x and 1 for y, we change it to 1 for x and -3 for y.

facundo3141592

The point that must be on the graph of the inverse function is (-3, 1).

What are inverse functions?

Two functions f(x) and g(x) are inverses if their composition is equal to the identity, this means that:

f( g(x)) = x

g(f(x)) = x

Now, if we know that (1, -3) is on the graph of F(x), then we have that:

[tex]F(1) = -3[/tex]

And if we define:

[tex]F^{-1}[/tex]

As the inverse of F(x), then we must have that:

[tex]F^{-1}(F(x)) = x[/tex]

Evaluating that in F(1) we get:

[tex]F^{-1}(F(1)) = 1\\[/tex]

And we know that F(1) = -3, then:

[tex]F^{-1}(-3) = 1[/tex]

This means that the point (-3, 1) must be on the graph of the inverse function.

If you want to learn more about inverse functions, you can read:

https://brainly.com/question/12220962

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