Question

The graph of a linear function h contains the points given in the table below. Find h^-1

Answer 1

You can see from the table that the y coordinate is always obtained by doubling the x coordinate and switching its sign. So, the relation is

`h(x)=y=-2x`

To invert this function, we must solve for y. Simply divide both sides by -2 and we have

`x=-(y)/(2)`

Rename the variables to get

`h^(-1)(x) = -(x)/(2)`

Answer 2

The answer is h^-1 (x) = -1/2x

Hope I helped :)