Answer:
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{2}[/tex]
Step-by-step explanation:
To find the inverse of the function f(x)
Let y = f(x) and rearrange, making x the subject.
y = 2x - 10 ( add 10 to both sides )
y + 10 = 2x ( divide both sides by 2 )
[tex]\frac{y+10}{2}[/tex] = x
change y back into terms of x, with x being the inverse
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+10}{2}[/tex]
