Log question

[candid yacht]

please help

[cunning nexus]

Find f∘g first, then find its inverse.

[candid yacht]

i don't know how to find f∘g since i don't know how to multiply e^x with a log

[cunning nexus]

That's not multiplication, that's composition.

[candid yacht]

omg im so stupid sorry

i forgot about it

so fg(x) = e^ln(1+2x)

[cunning nexus]

Yes.

[candid yacht]

then i make it x = e^ln(1+2y)

and then try make y the subject

lnx = ln(1+2y)

x = 1+2y

x-1/2 = inverse of fg(x)

is that it?

[cunning nexus]

Oh, good idea to do that. Yes.
Though, if you write it like that, you should write (x - 1)/2, not x - 1/2.