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If f(x + y) = f(x) - f(y),forall x, y in...

If f(x + y) = f(x) - f(y),`forall x, y in R`, then show that f(3) = f(1)

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PATHFINDER-FUNCTIONS-QUESTION BANK
  1. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

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  2. Find the range of the function y = log3 (5 + 4x - x^2).

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  3. If f(x + y) = f(x) - f(y),forall x, y in R, then show that f(3) = f(1)

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  4. Find the range of the function f(x) = (e^x - e^-x).

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  5. Find the inverse function of the function f(x) = [4 - (x - 7)^3]^(1/5)...

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  6. If f(x) =e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x), then find th...

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  7. Find domain of the function f(x) = 2^sin^(-1)x + 1/sqrt(x - 2).

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  8. Prove that the domain of g(x) =cot^-1 x/sqrt(x^2 - [x]) , x in R is R ...

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  9. Find the range of the function y =1/(2 - cos 2x).

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  10. Find the range of the function y = log2 (sin x + cos x + 3sqrt2)/sqrt2

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  11. Find the value of x which f(x) = 1/sqrt(absx - x) is not defined.

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  12. Find the range of y=x/(1 + x^2)

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  13. If f(x) = cos(loge x), then find the value of f(x)cdot f(y) - 1/2[f(x/...

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  14. Find the domain of f(x) = sin^-1 [ log9(x^2/4)]

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  15. Without using graph paper the graph of the function y = f(x) = abs(x -...

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  16. Without using graph paper draw a sketch graph of the function f(x) = 2...

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  17. Find the domain of the function F(x) = tan^-1 sqrt(x(x + 1)) + sin^-1 ...

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  18. Find the range of the function f(x) = (sec^2x - tan x)/(sec^2 x + tan ...

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  19. Find the domain of function f(x) = cos^-1 ((2 - absx)/4) + 1/log(3 - x...

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  20. If 2f(x) + 3f(-x) = 15 - 4x for all real values of x , then show that ...

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