PRECALCULUS : Domain and Range of Composite Functions

In each case, find the domain and range of f ∘ g for the given two functions f(x) and g(x). 

Problem 1 :

Solution :

Problem 2 :

Solution :

Problem 3 :

f(x) = sin x

g(x) = 2x

Solution :

Problem 4 :

f(x) = e^x

g(x) = x²

Solution :

Problem 5 :

f(x) = ln x

g(x) = -x

Solution :

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