So i was given a graph of h(x) and i am supposed to approximate h^-1(3) but i'm not sure about how to do it. could anyone tell me how to find the solution? THANKS!
I interpret the expression h^-1(3) as the value of the inverse of h(x) interpreted at x=3.
The inverse of a function f(x) is its mirror image about the line y=x, which is a line passing through the origin at 45° with the x-axis.
Knowing that, if a graph of f(x) is given, we can obtain the graph of the inverse of f(x), or f-1(x) by reflection about the line y=x.
To find the value of f-1(3) is the same as finding the value of x which corresponding to f(x)=3 provided in the original graph.
This follows from the property of inverses where
If y1=f(x1), then f-1(y1)=x1.