Question

find inverse
h(x)=x+2/x-2 , x not equal to 2
@hartnn

Answer 1

let y = (x+2)/(x-2)

our aim is to isolate 'x'

start by multiplying x-2 on both sides

Answer 2

ok

Answer 3

after that

Answer 4

y(x-2)=x+2

Answer 5

distribute 'y' on left

Answer 6

how..

Answer 7

\(\large ☻(☺+♥) = ☻☺+☻♥ \\ \text {this is distributing}\)

Answer 8

\[y=\frac{ x+2 }{ x-2 }\]\[y->x , x->y\]\[x=\frac{ y+2 }{ y-2 }\]\[xy-2x=y+2\]\[y(x-1)=2x+2\]\[y=\frac{ 2(x+1) }{ x-1 }\]

Answer 9

cody, please don't give away the steps, let eric try it on his own.

Answer 10

y(x-2)=x+2
could you now distribute the 'y' ?

Answer 11

Alrite, understood
Thank you

Answer 12

Thanks @hartnn for pointing out the key word...