Respuesta :

By using the graph and the definition of inverse functions, we will see that:

g⁻¹(1) = 4.

What are inverse functions?

We say that two functions f(x) and g(x) are inverse if:

  • f(g(x)) = x
  • g(f(x)) = x.

Now, we know that graph of g(x) and we want to find the value of:

g⁻¹(1)

In the graph, we can see that:

g(4) = 1

Then we can replace it:

g⁻¹(1) = g⁻¹( g(4) ) = 4.

So we can conclude that:

g⁻¹(1) = 4.

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

https://brainly.com/question/12220962