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Let f(x) = [x] and g(x) = x - [x], then...

Let f(x) = [x] and g(x) = x - [x], then which of the following functions is the zero function ?

A

(f+g) (x)

B

(fg) (x)

C

(f-g) (x)

D

(fog) (x)

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The correct Answer is:
D
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AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. Let f : N rarr N be defined as f(x) = 2x for all x in N, then f is

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  2. Let A={1,2,3,4,5,6}dot Define a relation R on set A by R={(x , y): y=x...

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  3. Let f(x) = [x] and g(x) = x - [x], then which of the following functi...

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  4. Function f : R rarr R, f(x) = x + |x|, is

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  5. Function f : [(pi)/(2), (3pi)/(2)] rarr [-1, 1], f(x) = sin x is

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  6. Function f[(1)/(2)pi, (3)/(2)pi] rarr [-1, 1], f(x) = cos x is

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  7. If f : R rarr R, f(x) = sin^(2) x + cos^(2) x, then f is

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  8. If function f(x) = (1+2x) has the domain (-(pi)/(2), (pi)/(2)) and co-...

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  9. The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

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  10. If f(x) = x/(x-1)=1/y then the value of f(y) is

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  11. gof exists, when :

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  12. If f : R rarr R, f(x) = x^(2) + 2x - 3 and g : R rarr R, g(x) = 3x - 4...

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  13. If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = lo...

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  14. If f : R - {1} rarr R, f(x) = (x-3)/(x+1), then f^(-1) (x) equals

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  15. If function f : R rarr R^(+), f(x) = 2^(x), then f^(-1) (x) will be eq...

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  16. If f(x) = 2 sinx, g(x) = cos^(2) x, then the value of (f+g)((pi)/(3))

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  17. The graph of the function y = log(a) (x + sqrt(x^(2) + 1)) is not sym...

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  18. If the function f:[1,\ oo)->[1,\ oo) defined by f(x)=2^(x(x-1)) is inv...

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  19. If f(x)=(1)/((1-x)),g(x)=f{f(x)}andh(x)=f[f{f(x)}]. Then the value of ...

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  20. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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