Question

Find the inverse of f(x)=(3+x)/(2x-1)

Answer 1

hint: inverse= opposite

Answer 2

To find the inverse:

Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)

Answer 3

I know how to find the inverse if there's only 1 x, but the two x's eventually cancel each other out

Answer 4

Mhm? Can you show me your process.

Answer 5

we simply swap about the variables firstly thus \(\bf f(x)={\color{blue}{ y}}=\cfrac{3+{\color{brown}{ x}}}{2{\color{brown}{ x}}-1}\qquad inverse\implies {\color{brown}{ x}}=\cfrac{3+{\color{blue}{ y}}}{2{\color{blue}{ y}}-1}\)

and then solve for "y"

Answer 6

well.. maybe you don't need to solve for "y"
since it doesn't seem to simplify neatly

Answer 7

Alright thanks! @jdoe001 @iambatman sorry turns out I wasn't following your instructions right.

Answer 8

yw