Answered

find the inverse function of f(x)=x-5/2x+3?

Sagot :

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

Switching x and y, the final answer is:
[tex]y= \frac{-5-3x}{2x-1}[/tex]