Question

The graph of the invertible function f is shown on the grid below.

What is the value of f -1(6)?

Answer 1

4

Explanation:

Answer 2

We have been given graph of function
`y=f(x)`. We are asked to find the value of
`f^(-1)(6)` from the graph of
`y=f(x)`.

We know that to find an inverse function is a function that reverses another function. A function f(x) gives an output of y, when we input some value of x. The inverse of f(x) will give the same value of x from value of y.

So to find inverse of a function we need to switch all x and y values.

We can see that
`f(4)=6`, so to to find value of
`f^(-1)(6)`, we have to switch x and y values.

After switching x and y values, we will get:

`f^(-1)(6)=4`

Therefore,
`f^(-1)(6)=4`.