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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.

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.

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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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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