There is only one property used to determine whether
.
The property is called the distributive property and in a nutshell it states, , which means
is distributed through
using multiplication. So
says, distribute
to
and
which then translates into
.
Hi!
We can see here that this is a composition question.
And since the composition of g of f of x is x, we can conclude that g(x) is the inverse of f(x) (if you're confused, search up the definition of an inverse function).
To find an inverse function, we can take the f(x) function and change the positions of the x and y variables.
Which is answer choice A, to check your work, you can solve the composition of g(f(x)), which will get you x.
2s cancel.
The natural log and e cancel.
s cancel.
7s cancel.
Hope this helps!