What is the inverse of the function f(x) = 2x – 10?h(x) = 2x – 5h(x) = 2x + 5h(x) = one-halfx – 5h(x) = one-halfx + 5

Answer:[tex]h(x)=\dfrac{x}{2}+5[/tex]Step-by-step explanation:You are given the function [tex]f(x)=2x-10[/tex]. To find the inverse function [tex]f^{-1}(x)[/tex] do such steps:1. Rewrite the function f(x) as[tex]y=2x-10[/tex]2. Express x in terms of y:[tex]y+10=2x\\ \\x=\dfrac{y}{2}+5[/tex]3. Change x into y and y into x:[tex]y=\dfrac{x}{2}+5[/tex]Now, the inverse function is[tex]f^{-1}(x)=\dfrac{x}{2}+5[/tex]