Question

What is the value of f^-1(0)? Please help! It’ll be greatly appreciated!

Answer 1

Answer:

$f^{-1}(0)=6$

Step-by-step explanation:

So, we have the graph y=f(x).

And we want to find:

$f^{-1}(0)$

Remember that the inverse of a function is simply the x-values and y-values swapped. To see this, let's let our inverse equal y:

$f^{-1}(0)=y$

This means that we have the point:

$(0,y)$

So, to find our solution, we will swap the x- and y-coordinates. This gives us:

$(x,0)$

So, simply need to find the x-coordinate such that y is 0.

From our graph, we can see the point (6,0). In other words:

$f(6)=0$

So:

$f^{-1}(0)=6$

And we're done!