3. (a) If f: X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify your answer.
3. (a) If f: X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to- one? Justify your answer.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Solve q3 a part only
Transcribed Image Text:3. (a) If f:X→ Y and g: Y→ Z are functions and go f is one-to-one, must g be one-to-
one? Justify your answer.
(b) Consider the set R. Prove:
(1) VxER, x 0 = 0;
(ii) If x y = 0 then either x = 0 or y = 0, or x = y = 0.
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