Question

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

Answer 1

Answer:

(3, -5).

Step-by-step 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).