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

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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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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