Find the inverse of the following functions F(x)=5x+2

For the inverse, replace all x with F(x) and F(x) with x.

x = 5 F(x) + 2

Solve x = 5 F(x) + 2 for F(x)

Subtract 2 to both sides

x - 2 = 5 F(x)

5 F(x) = x - 2

F(x) = ( x - 2 ) / 5