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If , f(x)="log"((1+x)/(1-x)),show that f...

If , `f(x)="log"((1+x)/(1-x))`,show that `f(x)+f(y)=f((x+y)/(1+xy))`

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PATHFINDER-FUNCTION-QUESTION BANK
  1. For which y can be a function of x. (x in R, y in R) x^6=y^3

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  2. For which y can be a function of x. (x in R, y in R) 3y=(logx)^2

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  3. If , f(x)="log"((1+x)/(1-x)),show that f(x)+f(y)=f((x+y)/(1+xy))

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  4. Let f: [-pi/2, pi/2]rarr[-1, 1], where f(x)=sinx. Find whether f(x) is...

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  5. Show f:R rarr R defined by f(x)= x^2 + x for all x in R is many one.

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  6. Find number of surjection from A to B where A={1,2,3,4}, B={a,b}

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  7. f(x)=x^5/5-8/3x^3+(16+c)x, then find the range of c, so that function ...

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  8. Find Domain of the following function : f(x)=sqrt(log0.4((x-1)/(x+5))

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  9. Find Domain of the following function : f(x)=sin^(-1)(log2(x^2/2))

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  10. Find Domain of the following function : f(x)=log(x-4)(x^2-11x+24)

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  11. Find Domain of the following function : f(x)=sin^(-1)[2x^2-3], where ...

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  12. Find the range of the following function f(x)=x^2-3x+2

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  13. Find the range of the following function f(x)=sin^2x-5sinx-6

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  14. Find the range of the following function f(x)=(x-[x])/(1+x-[x])

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  15. Find the range of the following function y=log3(log(1//2)(x^2+4x+4))

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  16. Find the range of the following function f(x)=log2"((sinx-cosx+3sqrt2...

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  17. Find the range of the following function f(x)=sin^(-1)[x^2+1/2]+cos^(...

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  18. Let f(x)=sqrt(x-2), g(x)= sqrt(5-x) find f(x)+g(x), f(x)-g(x), f.g., (...

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  19. Find which of the following functions is even or odd ? f(x)=x^2+|sinx|...

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  20. Find which of the following functions is even or odd ? f(x)=log(x+sqrt...

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