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23) If f: IR→IR and g: IR^ IR are continous, show that the functions f²g: IR^ → IR₁ × → [fos]ªg(x) and f² +g: IR^ → IR₁ × → [f

23) If f: IR→IR and g: IR^ IR are continous, show that the functions f²g: IR^ → IR₁ × → [fos]ªg(x) and f² +g: IR^ → IR₁ × → [f

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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23) If f: IR→IR and functions and f²g:| IRR are continous, show that the g¹ : IR^ →> IR¸ × → [f(x)]^g(x) one continous. f² +g: IR→IR₁ x ₂ [ f(x)]² + g(x)
Transcribed Image Text:23) If f: IR→IR and functions and f²g:| IRR are continous, show that the g¹ : IR^ →> IR¸ × → [f(x)]^g(x) one continous. f² +g: IR→IR₁ x ₂ [ f(x)]² + g(x)
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