- #1
Linday12
- 54
- 0
Homework Statement
If f(x)=[tex]\frac{2x+1}{x+2}[/tex], the equation for y=f^-1(x) is?So I switch x, x=[tex]\frac{2y+1}{y+2}[/tex]
The Attempt at a Solution
I've tried many ways, but I must be going wrong somewhere, here's what I think to be my nearest:
x(y+2)=2y+1
x(y)+2x=2y+1
x(y)+2x-2x=2y+1-2x
x(y)=2y+1-2x
x(y)-2y=1-2x
And that's as far as I get, it seems I'm stuck in an endless x loop or it simplifies too much to get the correct answer, so I must be missing a vital step or rule.
Sorry, it has been a while since I've done this, and I'm not quite sure if I am even attempting it right. Any tip would be very helpful, I think the answer is:
y=[tex]\frac{1-2x}{x-2}[/tex]
Thank you.