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If f(x) = x + 7 and g(x) = x − 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of f(x)

If f(x) = x + 7 and g(x) = x − 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of f(x)

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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If f(x) = x + 7 and g(x) = x − 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of f(x)
Transcribed Image Text:If f(x) = x + 7 and g(x) = x − 7, (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an function of f(x)
(a) Find the inverse function of f(x) ƒ-¹(x) = = 2x - 3. 1 (b) The graphs of ƒ and f-¹ are symmetric with respect to the line defined by y
Transcribed Image Text:(a) Find the inverse function of f(x) ƒ-¹(x) = = 2x - 3. 1 (b) The graphs of ƒ and f-¹ are symmetric with respect to the line defined by y
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