Questions on Algebraic Operations on Functions


What's On This Page

This page contains sample problems on algebraic operations on functions. They are for Self-assessment and Review.

Each problem (or group of problems) has an "answer button" ANSWER which you can click to look at an answer. Some solutions have a "further explanation button" Explain which you can click to see a more complete, detailed solution.

What to Do

To gain the most benefit from these problems,

Work the problems on your own. Write down your solutions BEFORE looking at any answers.

If you have difficulties with this material, please contact your instructor. (See Getting Help in Stage 1.) This is the most basic of the background material presented in the Field Guide to Functions. If it gives you trouble we strongly recommend reconsidering this course in favor of a course on algebra or trigonometry.


1. Let f(x) = 1/x and g(x) = x2 + 2. Find the following functions:

  1. (f + g)(x)

  2. (f - g)(x)

  3. (fg)(x)

  4. (f/g)(x)

ANSWER

2. Let f(x) = sqrt(x+1) and g(x) = x2. Find the following functions:

  1. (f + g)(x)

  2. (f - g)(x)

  3. (fg)(x)

  4. (f/g)(x)

ANSWER

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