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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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