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If `f` is a function such that `f(0)=2, f(1)=3, and f(x+2) =2f(x)-f(x+1)` for every real x, then `f(5)` is

A

`-3`

B

`-5`

C

7

D

13

Text Solution

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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. If A = {-1, 1}, then A xx A is equal to

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  2. If A = {x(!) , y(1), z(1)} and B = {x(2), y(2)}, then the number of re...

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  3. If f is a function such that f(0)=2, f(1)=3, and f(x+2) =2f(x)-f(x+1) ...

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

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

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

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

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  8. Which of the following is a function ?

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

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  10. Let n(A) = m and n(B) = n, then the number of non-empty relations from...

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

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

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

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  14. The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

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  15. The domain and range of the functions given by f(x)=2-|x-5| are

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

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  17. domain of f(x) = (3)/(2-x^(2)) is

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

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

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  20. Range of f(x) = (1)/(2x-1) is

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