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If f(x+y)=f(x)+f(y)-xy-1' for all x,y in...

If `f(x+y)=f(x)+f(y)-xy-1' for all `x,y in R`and f(1)=1,then the value of `-sum_(r=1)^5 f(r)/3` must be

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PATHFINDER-FUNCTION-QUESTION BANK
  1. If maximum and minimum value of f(x)=^xC(2x-1)+^(20-3x)C(4x-5) are la...

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  2. If the period of the function cos(nx)sin((5x)/n) is 3pi,then the numb...

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  3. If f(x+y)=f(x)+f(y)-xy-1' for all x,y in Rand f(1)=1,then the value of...

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  4. Let n(A)=4 and n(B)=6 ,then the number of one one functions from A to ...

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  5. If f(x)f(y)+2=f(x)+f(y)+f(xy) AA x,y in R and f(1)=f'(1)=2, then sgn (...

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  6. Let f:[0,1]rarr[0,1] defined by f(x)=(1-x)/(1+x)for0lexle1 and let g:...

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  7. If f(x)=1+x^2and f(g(x))=1+x^2-x^3+x^4,g(2)=2,then g(3) equals

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  8. f(x) is a polynomial satisfying f(x).f(y)=f(x)+f(y)+f(xy)=2, AAx,y in ...

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  9. Find the domain of each of the following functions: f(x)=sqrt(x+2)

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  10. Find the domain of each of the following functions: f(x)=1/sqrt(2x^2-7...

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  11. Find the domain of each of the following functions: f(x)=sqrt(x^2-3x+2...

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  12. Find the renge of each of the following functions: f(x)=(x^2-5x+6)

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  13. Find the domain of each of the following functions: f(x)=sqrt(sinx-1)

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  14. Find the domain of each of the following functions: f(x)=1/sqrt(x-1)

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

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  16. Find the range of the following function : f(x)=sqrt(x^2-x+1)

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  17. Find the range of the following function : f(x)=3sinx+4cosx-5

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  18. Find the range of the following function : f(x)=In(x-[x]),where[.]deno...

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  19. Which of the following functions are even/odd, and which are neither e...

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  20. Which of the following functions are even/odd, and which are neither e...

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