algebra 2 help?

Question

State the inverse of each function.
h(x) = (6x - 5)/2

Answer 1

First, for sake of personal sanity, I rewrite h(x) as y:

y = (6x - 5)/2

Now, to find the inverse function, have the x and y switch places, then solve for the new y:

x = (6y - 5)/2
2x = 6y - 5
6y = 2x + 5
y = (2x+5)/6

Your inverse function is thus:
h^-1(x) = (2x+5)/6

Hope that helps!

Answer 2

h(x)=(2x+5)/6
For inverses, switch y with x and solve for y.