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If f(x)=(x-1)/(x+1), then show that f(-1...

If `f(x)=(x-1)/(x+1)`, then show that
`f(-1/x)=-1/f(x)`.

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JBD PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Find the domain and range of the following functions: f(x)=|x-3|

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  2. If f(x)=(x-1)/(x+1), then show that f(1/x)=-f(x)

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  3. If f(x)=(x-1)/(x+1), then show that f(-1/x)=-1/f(x).

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  4. Domian of f(x)=1/sqrt(x+|x|) is

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  5. Find the domain of each of the following functions: x|x|

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  6. Find the domain of each of the following functions: (x^3-x+3)/(x^2-1)

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  7. Find the domain of f(x)=1/sqrt(1-cosx)

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  8. Find the range of f(x)=1-|x-2|.

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  9. Which of the following relations are functions? Give reasons. If it is...

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  10. Which of the following relations are functions? Give reasons. If it is...

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  11. Which of the following relations are functions? Give reasons, if it is...

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  12. Which of the following relations are functions? Give reasons, if it is...

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  13. Which of the following relations are functions? Give reasons, if it is...

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  14. Let A={2,3,4,5}, which of the following relations from A into A is a f...

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  15. Let A={2,3,4,5}, which of the following relations from A into A is a f...

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  16. Let A={2,3,4,5}, which of the following relations from A into A is a f...

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  17. Let A={2,3,4,5}, which of the following relations from A into A is a f...

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  18. Let A={2,3,4,5}, which of the following relations from A into A is a f...

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  19. Find the range of the following function:- f(x) = 2 - 3x, x in R, x > ...

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  20. Find the range of the following function:- f(x) = x^2 + 2, x is a real...

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