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If f(x) is a polynomial fin x( gt0) sati...

If `f(x)` is a polynomial fin `x( gt0`) satisfying the equation `f(x)+f(1//x)=f(x).f(1//x) and f(2)=9`, then `f(3)=`

A

26

B

27

C

28

D

29

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. f(x) = {{:([x], if, -3 lt x le -1),(|x|, if, -1 lt x lt 1),(|[-x]|, if...

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  3. If f(x) is a polynomial fin x( gt0) satisfying the equation f(x)+f(1//...

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  4. If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(...

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  5. If f:R to R is defined as f(x+y)=f(x)+f(y) AA x,y in R and f(1) = 7, f...

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  6. If f(x) is a function such that f(xy)=f(x)+f(y) and f(2)=1 then f(x)=

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  7. f: R to R is given by: f(x)= a^(x)/(a^(x) + sqrt(a)) AA x in R, then ...

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  8. If f(x) =((x-a)(x-b))/x and (f(x))/((x-y)(x-z))+ (f(y))/((x-z)(y-z)) +...

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  9. If 2f(x) -3f(1/x)=x^(2), x ne 0, then f(2)=

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  10. If f(0)=0, f(1)=1, f(2)=2 and f(x)=f(x-2)+f(x-3) " for " x=3, 4, 5, ……...

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  11. If f(x+y,x-y) =xy, then the arithmetic mean of f(x,y) and f(y,-x) is

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  14. If f(x) =ax^(5) + bx^(3) + cx +d is an odd function, then d=

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  15. f{x) is an even polynomial function. Then sin(f(x)-3x) is

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  16. If f(x) and g(x) are be two functions with all real numbers as their d...

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  17. If f(x) + g(x) = e^(-x) where f(x) is an even function and g(x) is an...

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  18. Assertion (A) : The function f(x) = cos x is symmetric about the line ...

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  19. A function whose graph is symmetrical about the y-axis is given by:

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  20. The graph of the function y = f(x) is symmetrical about the line x = 2...

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