1. If f(x)=2x-3 and g(x)=x2+1, find each of the following:
2. Let f(x)=x2+2 and g(x)=square root of 1-x2.
b) Are the functions of f g and g f defined?
3. Given F(x)=cubed root of x+5, find functions f and g such that F=f g. Explain the answer.
Functions of functions are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.