Question

If g(x) = 3x + 5, what is g^–1(x)?

Answer 1

x = 3y + 5
(x - 5)/3 = y

Answer 2

y=3x+5
y-5=3x
x=(y-5)/3

So inverse is

y=(x-5)/3

Answer 3

function says
1) multiply by 3
2) add 5

inverse will say
1) subtract 5
2) divide by 3

just like if you were going to solve
\[3x+5=2\]

Answer 4

so you get
\[f^{-1}(x)=\frac{x-5}{3}\]