Given the function and the inverse function , where p and q are constants, find a) the value of p and q c)

Step-by-step explanation:

Given

Solving for p and q

Replace h(x) with y in

Swap the position of y and d

Make y the subject of formula

Divide through by p

Now, we've solved for the inverse of h(x);

Replace y with

Compare this with

We have that

By direct comparison

--- Equation 1

 --- Equation 2

Solving equation 1

Divide both sides by x

Take inverse of both sides

Substitute in equation 2

Hence, the values of p and q are:;  

Solving for

First, we'll solve for h(3) using

Substitute ;  and

So; becomes

Solving for using

Substitute and

becomes

Hence;

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)