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;

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

you divide them and then you get the answer i took this class this year

step-by-step explanation: