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If 3f(x)+5f(1/x)=1/x-3 for all non-zero...

If `3f(x)+5f(1/x)=1/x-3` for all non-zero `x` , then `f(x)=` (a)`1/(16)(3/x+5x-6)` (b) `1/(16)(-3/x+5x-6)` (c) `1/(16)(-3/x+5x+6)` (d) none of these

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...

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  2. If f is a real valued function given by f(x)=27 x^3+1/(x^3)a n dalpha,...

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  3. If 3f(x)+5f(1/x)=1/x-3 for all non-zero x , then f(x)= (a)1/(16)(...

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  4. The function f: R ⇒ R is defined by f(x)=cos^2x+sin^4x , r a n g e ...

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  5. If e^(f(x))=(10+x)/(10-x),x in (-10 ,10)a n df(x)=kf((200 x)/(100+x^2)...

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  6. The domain of definition of f(x)=sqrt((x+3)/((2-x)(x-5))) is (a)(-oo,-...

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  7. The range of the function f(x)=sqrt(5|x| - x^2 - 6) is equals to ...

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  8. If f: R \rightarrow R be given by f(x)=(4^x)/(4^x+2) for all x in Rdo...

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  9. If f(x)=sin[pi^2]x+sin[-pi^2]x, where [x] denotes the greatest integer...

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

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

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

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

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

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

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

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

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

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

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