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Let A, B and C be three non-empty sets. ...

Let A, B and C be three non-empty sets. Suppose `f : A to B` and `g: B to C` are two functions such that `g o f: A to C` is one-to-one, then

A

f and g are both one-to-one

B

f is one-to-one g may not be one-to-one

C

f may not be one-to-one but g is one-to-one

D

both f and g need not be one-to-one

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE ( LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))
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  9. Let A and B be two sets defined as follows: A = {(x,y) in R xx R : y...

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  13. Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

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  16. Let f: R -{0} to R be defined by f(x) =x + 1/x, then range of g(x) =...

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  17. Let A, B and C be three non-empty sets. Suppose f : A to B and g: B to...

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  18. Suppose: f : R to S is defined by f(x) = 1/(x^(2) + 2x + 2) AA x in ...

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  19. If f : R -> R is defined by f(x) = [2x] - 2[x] for x in R, where [x] i...

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