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If y=f(x)=(a x-b)/(b x-a) , show that x=...

If `y=f(x)=(a x-b)/(b x-a)` , show that `x=f(y)dot`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f(x)=sin[pi^2]x+sin[-pi^2]x, where [x] denotes the greatest integer...

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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 y=f(x)=(a x-b)/(b x-a) , show that x=f(y)dot

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

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  5. t f be defined by f(x)=x-4 and g be defined by g(x)={(x^2-16)/(x+4)...

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  6. Express the function f: X->R given by f(x)=x^3+1 as set of ordered pai...

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

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  8. Let f: RvecRa n dg: CvecC be two functions defined as f(x)=x^2a n dg(x...

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  9. Let A={12 ,13 ,14 ,15 ,16 ,17}a n df: A→Z be function given by f(x)= h...

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

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  11. Find the domain of definition of the following f(x) given by f(x)=log4...

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  12. Find the domain of definition of the function f(x) given by f(x)=1/(lo...

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  13. Find the range of each of the following functions: f(x)=|x-3| f(x)=...

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  14. Find the sum and product of identity function and the modulus function...

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  15. Let cb ea non-zero real number and f: RvecR be a function defined by f...

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  16. If f(x)=1/(1-x) , show thatf[f{f(x)}]=xdot

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  17. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

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  18. Let fa n dg be two real functions defined by f(x)=1/(x+4)a n dg(x)=(x-...

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  19. Find the range of each of the following functions: f(x)=1/(sqrt(x-5)) ...

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  20. Find the domain of the real function f(x) defined by f(x)=sqrt((1-|x|)...

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