Posted by math is pointless on .
for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse.
g(x)=6x+5
please explain how you got the answer

algebra 2 
jim,
An inverse just undoes what the original function did, so you can get it by doing the opposite of what the original functtion did, in reverse order.
g(x) tells you: multiply by 6, then add 5.
Its inverse will tell you: subtract 5, then divide by 6.
Example: g(2) = 2*6 + 5 = 7.
Inverse (call it h()):
h(7) = (75)/6 = 2
so h(x) is going to look like (x5)/6.
Composition means finding h(g(x)); in other words write out g(x) in full instead of x and then apply h(x) to it, and if we're right, the whole mess should come back to be equal to x, where we started.
g(x)=6x+5
h(g(x)) = ((6x+5)5)/6
Does that get back to plain old x?