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[m] is defined as the greater integer le...

[m] is defined as the greater integer less than m.
{m} is defined as the least integer greater than m.
f(x,y) = {x}+[y]
g(x,y) = [x] - {y}
F(f(x,y)) = {f(x,y)} - [g(x,y)]
G(g(x,y)) = [f(x,y)] - {g(x,y)}
If x and y are consecutive integers, then find g(x,y):

A

`-1`

B

`-3`

C

`-1 or -3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT SSC-FUNCTIONS AND GRAPH-EXERCISE(LEVEL 1)
  1. If f(x)=x^(2)+2x+2,x ge-1 =x^(3)+3x+1, x lt-1 then find the value ...

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  2. [m] is defined as the greatest integer less than m [m] is defined as...

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  3. [m] is defined as the greater integer less than m. {m} is defined as...

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  4. [m] is defined as the greatest integer less than m [m] is defined as...

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  5. A decimal number 'm' (say) can be expressed as m=1+D where lrarr i...

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  6. A decimal number 'm' (say) can be expressed as m=1+D where lrarr i...

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  7. A decimal number 'm' (say) can be expressed as m=1+D where lrarr i...

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  8. f(x)=(1)/(x),g(x)=(x+(1)/(x)), then which of the following is true?

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  9. If f(x)=2x^(2)+7x-9 and g(x)=2x+3, then find the vlaue of g(g(x)) at x...

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  10. Find f(f(f(f(f(2)))))) if f(x)=(x+1)/(x-1),x ne 1

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  11. f(x)=1-h(x), g(x)=1-k(x), h(x)=f(x)+1 f(x)=g(x)+1, k(x)=j(x)+1 Fin...

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  12. f(x) = 1 - h(x), g(x) = 1 - k(x), h(x) = f(x) + 1 f(x) = g(x) + 1, k...

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  13. If f(x) and g(x) are odd functions of x, then which of the following i...

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  14. If f(x) is an even function of x and g(x) is an odd function then whic...

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  15. If y=" min "(x^(2)+2, 6-3x), then the greatest value of y for x gt0

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  16. If p^(2)+q^(2)+r^(2)=1, then the maximum vlaue of pqr is :

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  17. A train travels 360 km at a uniform speed. If the speed had been 5 km/...

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  18. Which of the following expression gives negative value ?

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  19. Which of the following expression is necessarily greter than 1?

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  20. A(x, y, z)=" min. "(x+y, y+z, z+x) B(x, y, z)="max "(x-y, y-z, z-x) ...

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