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;

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step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)