Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question

b)

Find the domain of f(x). Write your answer in words and in interval notation.

c)

Find the values of x that make f(x) equal to g(x)

d)

How do you know that your answer(s) from (c) are not extraneous?

e)

Simplify g(x) as a single fraction.

f) 

Do you think you should get the same number finding g(0) using the original form of g(x) as you would finding g(0) using the simplified form of g(x) that you found in (e)? Now calculate g(0) both ways. Comparing your results to your expections, what can you say about the correctness of your answer in (e)?

Let \( f(x) = \frac{50}{x^2 - 25} \) and \( g(x) = \frac{x}{x - 5} - \frac{7}{x + 5} \).
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Transcribed Image Text:Let \( f(x) = \frac{50}{x^2 - 25} \) and \( g(x) = \frac{x}{x - 5} - \frac{7}{x + 5} \).
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