Question 1:
For this case we must findknowing that:
By definition we have that, be two functions f (x) and g (x), then the composite function of f with g is:
In this case, they ask us for the function composed of g with f:
So, we have:
ANswer:
Question 2:
For this case, we must find the inverse function of , given by:
To do this, replace g(x) with y:
We exchange variables:
We solve for "y":
Replace "y" with
So, we have:
Answer:
Question 3:
For this case, we have by definition, the domain of a function f (x), is the set of all the values for which the function is defined.
We must find the domain of the following function:
It is observed that the function is not defined for
Then the domain is given by all the values of x, except 0.
for any integer n
Answer:
All numbers, except