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6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c) Domain of g(x) e) (f- g) (x) = g) (fog)(x) = i) f¹(x) = d) Range of g(x) f) (f. g)(x) = h) (gof)(x) = j) Is g(x) a 1-1 function? Explain

6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c) Domain of g(x) e) (f- g) (x) = g) (fog)(x) = i) f¹(x) = d) Range of g(x) f) (f. g)(x) = h) (gof)(x) = j) Is g(x) a 1-1 function? Explain

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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6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c) Domain of g(x) e) (f-g) (x) = g) (fog)(x) = i) f¹(x) = d) Range of g(x) f) (f. g)(x) = h) (gof)(x) = j) Is g(x) a 1-1 function? Explain D
Transcribed Image Text:6. Let f(x) = x − 1 and g(x) = (x + 2)², find the following: a) Domain of f(x) b) Range of f(x) c) Domain of g(x) e) (f-g) (x) = g) (fog)(x) = i) f¹(x) = d) Range of g(x) f) (f. g)(x) = h) (gof)(x) = j) Is g(x) a 1-1 function? Explain D
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