Question

Which point is on the graph of the inverse function h–1(x)?

Answer 1

Solution:

Given:

The graph of the function h(x)

Picking any point on the graph as shown below,

Picking point (0,2) on the graph of the function h(x)

$\begin{gathered} x=0 \\ y=2 \\ \\ \text{Hence, the point of the inverse function is gotten by interchanging the coordinates of the point } \\ ^{}^{} \end{gathered}$$\begin{gathered} \text{If the point of h(x) is }(x,y),thenh^{-1}(x)\text{ is (y,x)} \\ \\ \text{Hence, at (0,2) on h(x)}, \\ h^{-1}(x)\text{ will have the point (2,0)} \\ \\ \text{Also, at (1,0) on h(x),} \\ h^{-1}(x)\text{ will have the point (0,1)} \end{gathered}$

Therefore, a point on the graph of the inverse function of h(x) is (2,0).

Another point on the graph of the inverse function of h(x) is (0,1).