Let f : X → Y and g : Y → Z. Let h = g ◦ f : X → Z. Suppose g is one-to-one and onto. Which of the following is FALSE?

If f is not onto then h is not onto

If f is one-to-one then h is one-to-one and onto

If f is not one-to-one then h is not one-to-one

If f is one-to-one then h is one-to-one

Let f : X → Y and g : Y → Z. Let h = g ◦ f : X → Z. Suppose

1.	Let f : X → Y and g : Y → Z. Let h = g ◦ f : X → Z. Suppose g is one-to-one and onto. Which of the following is FALSE?
A.	If f is one-to-one then h is one-to-one and onto
B.	If f is not onto then h is not onto
C.	If f is not one-to-one then h is not one-to-one
D.	If f is one-to-one then h is one-to-one
Answer» B. If f is not onto then h is not onto

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