CPM Homework Help : CCA2 Problem 7-85

Find the equation for the inverse of the function $f ( x ) = 2 \sqrt { \frac { ( x - 3 ) } { 4 } } + 1$ . Sketch the graph of both the original and the inverse.

Graph of the original function:

Hint:

To find the inverse, change every $x$ to $f(x)$ and every $f(x)$ to $x$ . Solve for $f(x)$ .

More Help:

If you found a few points for the graph of $f(x)$ , how can that help you graph the inverse equation?

First quadrant, Increasing curve, opens down, starting at (3, comma 1). x axis scaled in fives, from 0 to 30, y axis, scaled in twos, from 0 to 12.