20 x=0 3. Define f: R→ R by f(x) = and g: R → R by g(x) = -{ 1² r <0 0 r20 (a) Compute (fg)(-1) (b) Compute f²(7) (e) Show that g is neither surjective nor injective. (d) Show that f is bijective.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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x = 0
x=0
0
3. Define f: RR by f(x) =
x²
x < 0
and g: R → R by g(x) =
0 x ≥0
(a) Compute (fg)(-1)
(b) Compute f2(π)
(c) Show that g is neither surjective nor injective.
(d) Show that f is bijective.
Transcribed Image Text:x = 0 x=0 0 3. Define f: RR by f(x) = x² x < 0 and g: R → R by g(x) = 0 x ≥0 (a) Compute (fg)(-1) (b) Compute f2(π) (c) Show that g is neither surjective nor injective. (d) Show that f is bijective.
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