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If f(x)=x+1/x , prove that [f(x)]^3=f(x^...

If `f(x)=x+1/x` , prove that `[f(x)]^3=f(x^3)+3f(1/x)dot` .

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CBSE COMPLEMENTARY MATERIAL-REALATION AND FUNCTIONS -SHORT ANSWER TYPE QUESTIONS (4 MARKS)
  1. Draw the grapgh of the function |x-2|

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  2. Find the domain and range of real function ,f(x)=sqrt(x^2 +4)

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  3. Find the domain and range of real function ,f(x)=(x+1)/(x-2)

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  4. Find the domain and range of real function ,f(x)=|x+1|/(x+1)

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  5. Find the domain and range of the function f(x)=(x^(2)-9)/(x-3)

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  6. Find the domain and range of real function ,f(x)=(4-x)/(x-4)

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  7. Find the domain and range of real function ,f(x)=1-|x-3|

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  8. Determine a quadratic function (f) is defined by f(x)=ax^2 +bx+c . If ...

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  9. Draw the graph of the function

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  10. Draw the graph of the signum function f(x)={{:(|x|/x, " when ", x ne0)...

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  11. Find the domain of f(x)=1/(sqrt(x+|x|))

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  12. Find the domain of f(x)=1/(sqrt(x-|x|))

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  13. Find the domain of f(x)=1/sqrt(x^2 -x -6)

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  14. Find domain of f(x)=(1)/(sqrt(9-x^(2)))

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  15. Find the domain of f(x) =sqrt(4-x) +1/sqrt(x^2 -1)

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  16. For which Domain, the functions f(x) = 2x^2-1 and g(x)=1-3x are equal ...

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  17. If f(x)=x+1/x , prove that [f(x)]^3=f(x^3)+3f(1/x)dot .

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  18. If [x] denotes the greatest integer function .Find the solution set of...

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  19. If f(x) =(ax-b)/(bx-a)=y Find the value of f(y).

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  20. Draw the graph of following function and find range (Rf) of f(x) = |x...

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