Respuesta :

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{x+10}{2}[/tex]

Step-by-step explanation:

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, thus

[tex]f^{-1}[/tex](x) = [tex]\frac{x+10}{2}[/tex]