Suppose that g is a function from A to B and f is a

Chapter 1, Problem 33E

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QUESTION:

Problem 33E

Suppose that g is a function from A to B and f is a function from B to C.

a) Show that if both f and g are one-to-one functions, then f o g is also one-to-one.

b) Show that if both f and g arc onto functions, then f o g is also onto.

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QUESTION:

Problem 33E

Suppose that g is a function from A to B and f is a function from B to C.

a) Show that if both f and g are one-to-one functions, then f o g is also one-to-one.

b) Show that if both f and g arc onto functions, then f o g is also onto.

ANSWER:

Solution:

Step 1:

Suppose that g is a function from A to B and f is a function from B to C.

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