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If f(x)=(2x)/(1+x^2)\ , show that f(tant...

If `f(x)=(2x)/(1+x^2)\ ,` show that `f(tantheta)=sin2theta)`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f(x)=(x+1)/(x-1) , show that f{f(x)}=xdot

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  2. If f(x)= {(x^2,"when" ,xlt0),( x ," when", 0lexlt1),( 1/x ," when", ...

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  3. If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

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  4. Find the domain of each of the following real valued function: f(x)=1/...

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  5. Find the domain of each of the following real valued function: f(x)=(x...

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  6. Find the domain of each of the following real valued function: f(x)=(2...

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  7. Find the domain of each of the following real valued function: f(x)=(x...

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  8. Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt...

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  9. The range of the function f(x) = (x^2-9)/(x-3); x!=3 is

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  10. The domain and range of the real function f defined by f(x)=(4-x)/(x-4...

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  11. The range of the function f(x)=|x-1| is A. (-oo,0) B. [0,oo) C. (0,...

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  12. Let f ={(x ,(x^2)/(1+x^2)):x in R}be a function from R into R. Determi...

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  13. Find the domain of each of the following real valued functions of real...

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  14. Find the domain of each of the following real valued functions of real...

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  15. Find the domain of each of the following real valued functions of real...

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  16. Find the domain of each of the following real valued functions of real...

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

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  18. Find the domain and range of each of the following real valued func...

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  19. Find the domain and range of each of the following real valued func...

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  20. Find the domain and the range of the real function f defined by f(x)=...

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