Explore BrainMass

Functions of Functions

1. If f(x)=2x-3 and g(x)=x2+1, find each of the following:

a) f(g(2))

b) g(f(3))

2. Let f(x)=x2+2 and g(x)=square root of 1-x2.

a) Find the domain and range of f and g.

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.

© BrainMass Inc. brainmass.com June 21, 2018, 4:19 am ad1c9bdddf


Solution Summary

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.