Answer:
[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]
Step-by-step explanation:
start by replacing f(x) for y:
y = 2x + 1
switch y and x:
x = 2y+1
solve for x by first subtracting 1 from both sides:
2y = x-1
divide 2 from both sides:
y = [tex]\frac{x - 1}{2}[/tex]
replace y with [tex]f(x)^{-1}[/tex]:
[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]
