Let f : X → Y and g: Y→ Z. Let h = gof: X→ Z. Suppose g is one-to-one and onto. Which of the following is FALSE? Select one: O a. If f is not one-to-one then h is not one-to-one. O b. If f is one-to-one then h is one-to-one. O c. If f is not onto then h is not onto. O d. O e. If f is onto then h is onto. If f is one-to-one then h is one-to-one and onto.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f : X → Y and g: Y→ Z. Let h = gof: X→ Z. Suppose g is one-to-one and onto. Which of the following is FALSE?
Select one:
O a. If f is not one-to-one then h is not one-to-one.
O b. If f is one-to-one then h is one-to-one.
O c. If f is not onto then h is not onto.
O d.
O e.
If f is one-to-one then his one-to-one and onto.
If f is onto then h is onto.
Transcribed Image Text:Let f : X → Y and g: Y→ Z. Let h = gof: X→ Z. Suppose g is one-to-one and onto. Which of the following is FALSE? Select one: O a. If f is not one-to-one then h is not one-to-one. O b. If f is one-to-one then h is one-to-one. O c. If f is not onto then h is not onto. O d. O e. If f is one-to-one then his one-to-one and onto. If f is onto then h is onto.
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