When graphing on our calculators we have to be careful of values that would produce errors, ie dividing by zero or a negative square root. Consider the functions: f(x) = x² – 1 g(x) = x+1 • Evaluate and and determine the domain of each combination. • Without simplifying graph these two combinations in your calculator. What do you notice about the domain restrictions in the graph? Now simplify and graph. Did anything change? Explain. • Last, evaluateFog)(x) andg of)(x) and list any domain restrictions, if any. Note: these are compositions and do not represent multiplication.
When graphing on our calculators we have to be careful of values that would produce errors, ie dividing by zero or a negative square root. Consider the functions: f(x) = x² – 1 g(x) = x+1 • Evaluate and and determine the domain of each combination. • Without simplifying graph these two combinations in your calculator. What do you notice about the domain restrictions in the graph? Now simplify and graph. Did anything change? Explain. • Last, evaluateFog)(x) andg of)(x) and list any domain restrictions, if any. Note: these are compositions and do not represent multiplication.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:When graphing on our calculators we have to be careful of values that would produce errors, ie dividing by zero or a negative square root. Consider the functions:
f(x) = x² – 1
g(x) = x+1
• Evaluate
and
and determine the domain of each combination.
• Without simplifying graph these two combinations in your calculator. What do you notice about the domain restrictions in the graph? Now simplify and graph. Did anything
change? Explain.
• Last, evaluateFog)(x) andg of)(x) and list any domain restrictions, if any. Note: these are compositions and do not represent multiplication.
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Step 1
Given functions are
The division of two functions will be
Here it will be
The domain will be
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