Question

What is the equation of the inverse of h(x) = 5x + 2?

Answer 1

y = 5x + 2
switch x and y, then solve for y:
x = 5y + 2
x-2 = 5y
y = (x-2)/5

Answer 2

First, write it as \(y = 5x + 2\)
Now get the value of x in terms of y, and then replace y with x and x with h(x)

Answer 3

\( \color{Black}{\Rightarrow \large {y - 2 \over 5} = x }\)

Replace

\( \color{Black}{\Rightarrow h^{-1}(x) =\Large {x -2 \over 5} }\)