Question

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

Answer 1

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

Hope I helped :)

Answer 2

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

$x=-\dfrac{y}{2}$

Rename the variables to get

$h^{-1}(x) = -\dfrac{x}{2}$