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

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

Text Solution

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The correct Answer is:
`-(1)/(f(x))`
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KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Solutions of NCERT Exemplar Problems (Long Answer Type Questions)
  1. Is g= {(1, 1), (2,3), (3,5), (4,7)} a function, justify. If this is de...

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  2. Find the domain of each of the following functions given by f(x)= (1...

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  3. Find the domain of the following functions. f(x)= (1)/(sqrt(x + |x|...

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  4. Find the domain of each of the following functions given by f(x)= x|...

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  5. Find the domain of each of the following functions given by f(x)= (x...

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  6. Find the domain of each of the following functions given by f(x)= (3...

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  7. Find the range of the following functions given by f(x)= (3)/(2-x^(2...

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  8. Find the range of the following function f(x)=1- |x-2|, x in R

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  9. Find the range of the following functions given by f(x)= |x-3|

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  10. Find the range of the following functions given by f(x)= 1 + 3 cos 2...

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  11. Redefine the function f(x)= |x-2| + |2 + x|, -3 le x le 3

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

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

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  14. If f(x)= sqrtx and g(x)= x be two functions defined in the domain R^(+...

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  15. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

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  16. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

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  17. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

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  18. Find the domain and range of the following function f(x)= (1)/(sqrt(...

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  19. If f(x)= y = (ax-b)/(cx-a), then prove that f(y) = x

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