Question

Find the inverse of g(x)=5x-8

Would it be h(x)=x+8/5

Answer 1

looks good

Answer 2

But when I checked online it said g^-1(x)=x+8/5

Answer 3

g^-1 is notation for "inverse of g" ... is the name important?

Answer 4

so it's fine if i put h(x)

Answer 5

dunno - as scott asked: is the name important?

Unless you explain what h(x) is, it bears no relevance to the question.
If you say that h(x) = g^-1(x) then it should be fine.
But, that's even more work than just saying that g^-1(x) = x+8/5.

In fact, I'd just put x+8/5 since it is clear what they are asking for, not its name.