Question

find the inverse of f(x)=3x+2

Answer 1

x=3f(x)+2
x-2=3f(x)
f(x)=(x-2)/3
Swap the x and f(x) in the original equation

Answer 2

your function says multiply by 3 and then add two
inverse will say subtract 2, divide by 3
\[f^{-1}(x)=\frac{x-2}{3}\]
just like if you were asked to solve
\[3x+2=11\] you would first subtract 2 to get
\[3x=9\] then divide by 3 to get
\[x=3\] meaning if you know the output of the function you can find the input