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

If `f(x)=1/(2x+1),\ x!=-1/2,\ ` then show that `f(f(x))=(2x+1)/(2x+3)` , provided that `x!=-3/2dot`

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

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  2. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

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  3. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

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  4. If f(x)=loge((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+a b))

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  5. माना f:R rarr R एक फलन इस प्रकार परिभाषित है, कि f(x)={:{(3x-1, " ...

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  6. For the relation y= + sqrtx, say whether it is a function or not. If i...

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  7. Find the domain and range of the following functions: (i) f(x) = sqr...

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  8. The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] d...

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  9. Find the domain of the function f(x) = (x^(2) + 2x +1)/(x^(2) - 8x +12...

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  10. Find the range of the following function: f(x) = (1)/((2x-3) (x+1))

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  11. Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)

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  12. Which of the following functions are odd or even or neither: (i) f(x...

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  13. The period of x-[x] where [x] represents the integral part of x is

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  14. Solve: [2x-3]=5

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  15. Let f and g be two functions defined by: f(x) = sqrt(x-1) and g(x) = s...

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  16. The domain of the function f(x)=(sin^(-1)x)/([x]) is (where is greates...

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  17. Define the function f : R -> R by y = f(x) = x^2 , x in R . ...

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  18. Draw the graph of the function: f: R rarr R defined by f(x) = x^(3), x...

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  19. Let R be the set of real numbers. Define a real function f: R rarr R "...

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  20. फलन f, f(x) = {(1-x"," x lt 0),(1","x = 0),(x +1"," x gt 0):} द्वारा प...

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