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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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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If f(x)=x^2, find (f(1. 1)-f(1))/((1. 1-1))

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  2. If f(x)=3x^4-5x^2+9, find f(x-1) .

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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) = x^2 - 3x + 4, then find the values of x satisfying the equat...

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  5. If f(x)=(x-a)^2(x-b)^2, find f(a+b)

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  6. If f(x)=(x+1)/(x-1) , show that f{f(x)}=xdot

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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