You are here:

Basic Math/Algebra college level 100 intermediate

Advertisement


Question
I keep doing the problem wrong and would like to see it done, so that I mat understand it and apply knowledge to other like problems. Can you help me?
 
problem: Let f(x)=(x-2)^ and g(x)=x+1 and find the following
a)(f o g)(-1)
b)(g o f)(-1)

Answer
Hello, Jennifer.

I assume that f(x) = (x-2)^2.


Questions like these can be rewritten as (f 0 (g(-1)), or, for the second question, (g 0 (f(-1)).

A) First solve (g 0 -1). This is equal to -1 + 1, or 0. Next, solve f(0), which is equal to (0-2)^2, or 4.
B) First solve (f 0 -1). This is equal to (-1 - 2)^2, or 9. Next, solve g(9), which equals 9+1, or 10.

Answers: A) 4; B) 10.

I hope this helps. Any further questions, please ask.

Regards,
John  

Basic Math

All Answers


Answers by Expert:


Ask Experts

Volunteer


John Zalewski

Expertise

I can help you solve problems involving fractions, decimals, ratios, and algebra. I can teach you how to do math faster, and even in your head. I can teach math definitions, and help you study, if necessary. Please do not ask any graphing, trigonometry, or calculus questions. Try to work through homework questions before asking for assistance.

Experience

I routinely process numbers of all kinds in my head, without need of a calculator.

Education/Credentials
I was an A math student while in high school.

©2016 About.com. All rights reserved.