Question

Find the inverse
f(x)=(x+3)/(x-2)

Answer 1

so first switch x and y

Answer 2

x=(y+3)/(y-2)

Answer 3

so after that you can cross multiply to get rid of the denominator

Answer 4

which gives you x(y-2)=(y+3)

Answer 5

so now what step do you think you could take to isolate y

Answer 6

distribute the x(y-2)

Answer 7

yes

Answer 8

so then you have xy-2x=y+3

Answer 9

you can add the 2x and then subtract y to get
xy-y=2x+3

Answer 10

now what do you think is the next step?

Answer 11

@recon14193 my computer lagged, i'm back

Answer 12

divide by x

Answer 13

y=(2x+3)/(x-1)

Answer 14

well you go the right answer but youre not diving by x you are factoring out y so that you have
y(x-1)=2x+3

Answer 15

and then you divide by x-1 to get you had stated before

Answer 16

thanks