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If f(x+4) = x^(2) - 1, then f(x) is equa...

If `f(x+4) = x^(2) - 1`, then f(x) is equal to

A

`x^(3) - x`

B

`(x-4)^(2) - 1`

C

`(x-1)^(2) - 3`

D

`(x+1)^(2) - 3`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)
  1. If f is a function such that f(0) = 2, f(1) = 3, f(x+2) = 2f(x) - f(x ...

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  2. If f(x) = (x-1)/(x+1), then f(2) is equal to

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  3. If f(x+4) = x^(2) - 1, then f(x) is equal to

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  4. Let X be any non-empty set containing n elements, then the number of r...

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  5. Let A = {2, 3, 5}, B = (10, 12, 15}, then which of the following is a ...

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  6. Which of the following is a function ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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