Question

The point (-5,3) lies on the graph of f(x). Which of the following points lies on
f-1(x)?

Answer 1

(3, -5).

Explanation:

By the definition of inverses:

`\text{If $f(a) = b$, then $f^(-1)(b)=a$}`

In other words, the inverse of a function returns the input when given the output of the original function.

We know that the point (-5, 3) lies on the graph of f(x). In other words:

`f(-5)=3`

Then by definition:

`f^(-1)(3)=-5`

So, the point (3, -5) must lie on the graph of f⁻¹(x).