Question

Find the inverse of f(x)=(1+3x)/(5-2x)
Please show work!

Answer 1

All you gotta do is switch the x and y and solve bro

Answer 2

solve for x
becuase f(x) would be y

Answer 3

you want the steps?

Answer 4

yeah, but would you solve for y?
I got up to this: \[(5-2y)x=1+3y\]

Answer 5

ok

Answer 6

\[(5-2y)x=1+3y\]
\[5x-2xy=1+3y\]
\[5x-1=3y-2xy\]
\[5x-1=(3-2x)y\]
\[\frac{5x-1}{3-2x}=y\]

Answer 7

i just did this problem a few posts back, but i don't know how to retrieve it

Answer 8

think of the inverse like the opposite...that's why you have to switch them. If you can, graph it and you'll be able to see it a lot easier.

Answer 9

so
\[f^{-1}(x)=\frac{5x-1}{3-2x}\] assuming i did the algebra right. it was the steps you wanted yes?

Answer 10

@Mandolino, I deleted the question because I awarded you a medal but I still needed help. Sorry.

Answer 11

@satellite73 Thanks!

Answer 12

i think there is a sign error, if you move -2xy to the rhs then is should be positive.

i got earlier (hope its right)\[y=\frac{5x-3}{2x+3}\]

Answer 13

i think there is a sign error, if you move -2xy to the rhs then is should be positive.

i got earlier (hope its right)\[y=\frac{5x-3}{2x+3}\]

Answer 14

should be 5x-1 in the numerator