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Let f : R rarr R be defined by f(x) = [x...

Let `f : R rarr R` be defined by f(x) = [x] and `g(x) = (3- 2x)/4` then

A

f is neither one-one nor onto

B

g is one-one but f is not one-one

C

f is one-one and g is onto

D

neither f nor g is onto

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A, B
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PATHFINDER-FUNCTION-QUESTION BANK
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  12. Let f(x) be a real valued function satisfying the functional equation ...

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  18. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  19. Let f(x) = 1/2[f(xy) + f(x/y)] for x,y in R^+ such that f(1) = 0 f'(...

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  20. For all real values of x and y, 2f(x) cosy = f(x + y) + f(x - y) and b...

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