Answer:
[tex]f^{-1} (x)=-\frac{x}{2} +\frac{5}{2}[/tex]
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
Replace x and y, to find inverse function f , and compute the resulting equation for x.
there will be more than one inverse if the elementary function is not one-to-one.
So, exchange the variable: [tex]y=5-2x[/tex] becomes [tex]x=5-2y[/tex]
Now, solve the equation: [tex]x=5-2y[/tex] for y
[tex]y=\frac{5}{2} -\frac{x}{2}[/tex]
