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The function f:RrarrR defined by f(x)=(x...

The function `f:RrarrR` defined by `f(x)=(x-1)(x-2)(x-3)` is :

A

`f(x)^(2)=f(x)^(2)`

B

`f(x)=|f(x)|`

C

`f(x+y)=f(x)+f(y)`

D

None of the above.

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The correct Answer is:
D
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PUNEET DOGRA-FUNCTIONS-PREV YEAR QUESTIONS
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  2. Suppose f: R rarr R is defined by f(x) = (x^(2))/(1+x^(2)) is the r...

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  3. The function f:RrarrR defined by f(x)=(x-1)(x-2)(x-3) is :

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

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  5. The domain of the function f(x)=(|x+3|)/(x+3) is

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  6. If 196 x^(4)=x^(6) , then x^(3) is equal to which one of the followi...

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  7. v34

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  8. What is the range of the function f(x)=(|x|)/(x), x ne 0?

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  9. Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer ...

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  10. If f(x) =(4x+x^(4))/(1+4x^(3)) and g(x) = In (1+x)/(1-x) t then what...

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  11. If f(x) = (x)/(x-1) then what is f ( a)/(f(a+1)) equal to:

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  12. A function f is defined by f(x)=x+(1)/(x). Consider the following. (...

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  13. The function f:RrarrR defined by f(x)=(x-1)(x-2)(x-3) is :

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  14. Let f(x) = px + q and g(x) = mx +n. Then f (g(x)) = g (f(x)) is equiva...

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  15. A function f is defined by f(x)=x+(1)/(x). Consider the following. (...

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  16. The domain of the function f(x)=(1)/(sqrt(x^(2)-3x+2)) is

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  17. What is the range of the function f(x)=x^(2)+3x-5 in the domain x in[0...

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  18. If x(1),x(2),….x(20) are in H.P then x(1)x(2)+x(2)x(3)+….+x(19)x(20)=

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  19. The function f(x) = (x^(2)-4)/(sin x-2) is

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  20. The function f(x) = (x^(2)-4)/(sin x-2) is

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