Explore BrainMass

Explore BrainMass

    Functions of Functions

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 October 7, 2022, 5:26 pm 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.