Question

find the inverse function of y=3/2(x-3), the answer is y=2x+9/3

steps?

also y=+/-2 sqrt(x-3) +3 , the answer is y=x^2 -6x+12 . Please show me the steps how

Answer 1

To find the inverse,
1. Replace x with y and y with x.
2. Solve for y.

Answer 2

i know that , can u please show me step by step?

Answer 3

y=3/(2x-3)
Replace x with y and y with x. What do you get?

Answer 4

im having difficulty isolating y

Answer 5

Do one step at a time.
Replace x with y and y with x. What do you get?

Answer 6

i've got y= 2x/3 +3,which i snot the answer, i need to know what im doing wrong. can you please just show me your steps to get that answer please

Answer 7

Well you won't even answer any of my basic question. I will let someone else help you.

Answer 8

right now i have , 2x/3 = 1/y-3 , how can i isolate y?

Answer 9

cross-multiply

Answer 10

\(\bf {\color{red}{ y}}=\cfrac{3}{2{\color{blue}{ x}}-3}\qquad inverse\implies {\color{blue}{ x}}=\cfrac{3}{2{\color{red}{ y}}-3}
\\ \quad \\
2{\color{red}{ y}}-3=\cfrac{3}{{\color{blue}{ x}}}\)

add 3 and divide by 2, on both sides

Answer 11

i;ve made a mistake in the question it is actually y=3/2(x-3)