Consider the functions f(x) = 2x and g(x) = ≠ 3
(a) calculate (f ° g)(4)
(b) find
(c) write doen the domain of

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:

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

All numbers, except

step-by-step explanation: