If f(x) = 2x and g(x) = sqrt x, what is the domain of (fog)(x)?

All Real x larger or equal zero

or in inequality form:

or in interval notation:

Step-by-step explanation:

If and , then using the definition for the composition of functions , we get:

Base on this final expression, we understand that the Domain (numbers that can be used as input of the function and produce a real number as result) of this new function is limited to those x-values larger than or equal to zero. Negative numbers inside the square root will not produce a real number.

Therefore, the Domain is restricted to All Real numbers larger than or equal to o (zero).

This statement can also be given in inequality form as

or in interval notation:

sure i'm up for it

step-by-step explanation: