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f and h are function from A rarr B, wher...

f and h are function from A `rarr` B, where A = {a, b, c, d} and B = {s, t, u} defined as follows
f(a) = t, f (b) = s, f(c ) = s
f(d) = u, h(a) = s, h(b) = t
h(c ) = s, h(a) = u, h(d) = u
Which one of the following statement is true?

A

A. f and h are functions

B

B. f is a function and h is not a function

C

C. f and h are not functions

D

D. None of the above

Text Solution

Verified by Experts

The correct Answer is:
B
A = {a, b, c, d}
B = {s, t, u}

It is clear that f is a function
But in relation h, a have h image s and u.
So, h is not a function.
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