algebra 2 help?

Question

g(x) = (18x + -36)/30

A g^-1(x) = (5/30)x + 2
B g^-1(x) = (5/3)x - 2
C g^-1(x) = (3/5)x + 2/5
D g^-1(x) = 3x + 2
E g^-1(x) = (5/3)x + 2
F g^-1(x) = (5/30)x + 1/15

Answer 1

To clarify my thinking, I prefer to write g(x) as y.
y = (18x + -36)/30

To find the inverse function, replace y with x and x with y:
x = (18y + -36)/30
Then solve this for y:
30x = 18y - 36
30x + 36 = 18y
y = (30x + 36)/18
y = (5/3)x + 2

The inverse function is g^-1(x) = (5/3)x + 2
In other words, the correct answer is E.

Hope that helps!

Answer 2

E