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If f : R rarr R be defined as f(x) = 2x ...

If `f : R rarr R` be defined as `f(x) = 2x + |x|`, then `f(2x) + f(-x) - f(x)` is equal to

A

`-2x`

B

`2x`

C

`-2|x|`

D

`2|x|`

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The correct Answer is:
D
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
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  2. Which of the following is a function ?

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  3. If f : R rarr R be defined as f(x) = 2x + |x|, then f(2x) + f(-x) - f...

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  4. Let n(A) = m and n(B) = n. The total number of non-empty relations tha...

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  5. If f(x) = ax + b, where a and b are integers, f(-1) = -5 and f(3) = 3,...

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  6. Domain of the functions f defined b f(x) = (5-x)/(x-5) is

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  7. Domain of the function f defined by f(x) = sqrt(x-1) is given by

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  8. Domain of the function defined by f(x) = (x^(2) + 2x +1)/(x^(2) - x - ...

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  9. Domain of the function f given by f(x) = 2-|x-5| is

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  10. The domain of the function (x^(2) + 8x + 9)/(x^(2) - 9x + 20) is

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  11. Range (परिसर) of f(x) = (3)/(2-x^(2)) is

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  12. Range of f(x) = |x-2| is

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  13. Range of f(x) = |x-3| is

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  14. Range [परिसर] of f(x) = (1)/(2x-1) is

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  15. Range of f(x) = x^(3) is

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  16. The possible value(s), the expression (|x-5|)/(x-5) can take is

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  17. If f(x) = 3x + 1 and g(x) = x^(2) - 1, then (f + g) (x) is equal to

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  18. If f(x) = 7x + 9 and g(x) = 7x^(2) - 3, then (f - g)(x) is equal to

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  19. If f(x) is an identity function, then f(5) is equal to

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  20. For a constant function f(x), given that f((1)/(2)) = 1/4. The value o...

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