Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{5-x}{2}[/tex]
Step-by-step explanation:
Let y = f(x) and rearrange making x the subject
y = 5 - 2x ( add 2x to both sides )
2x + y = 5 ( subtract y from both sides )
2x = 5 - y ( divide both sides by 2 )
x = [tex]\frac{5-y}{2}[/tex]
Change y back into terms of x
[tex]f^{-1}[/tex] (x) = [tex]\frac{5-x}{2}[/tex]
