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Let R rarr f(x) = x^3 + ax^2 + bx + c si...

Let `R rarr f(x) = x^3 + ax^2 + bx + c sin x, a, b, c in R` Find the condition that should be imposed on a, b, c so that the given function becomes invertible ?

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PATHFINDER-FUNCTION-QUESTION BANK
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  2. Determine all functions f : R rarr R satisfying f(x-f(y)) = f(f(y)) + ...

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  3. Let R rarr f(x) = x^3 + ax^2 + bx + c sin x, a, b, c in R Find the con...

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  4. If f(x) satisfies the relation f(x + y) = f(x) + f(y) AA x,y in R and...

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  5. In the function f(x) is defined for x in[0,1] then the function f(2x+3...

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  6. The domain of the function f(x)=sin^(-1)(x-3)/sqrt(9-x^2) is

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  7. The domain of the real valued function f(x)=3e^sqrt(x^2-1)log(x-1) is

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  8. Domain of the function f(x)=sin^(-1)((2-|x|)/4)+cos^(-1)((2-|x|)/4)+ta...

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  9. The domain of the function f(x)=sin^(-1) frac1|x^2-1|+1/sqrt(sin^2x+si...

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  10. The range of function f(x)=sqrt("^(x^2+4x)C(2x^2+3)

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  11. Let n be a natural number. Then the range of the function f(n)=^(8-n)P...

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  12. If x^2+y^2+z^2=1, then xy + yz + zx lies in

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  13. The range of the function f(x)=sin^(-1)[x^2+1/2]+cos^(-1)[x^2-1/2], ...

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  14. The range of the function f(x)=sqrt(3x^2-4x+5) is

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  15. If the graph of the function f(x)=(a^x-1)/(x^n(a^x+1)) is symmetric ab...

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  16. If the graph of the function f(x) is symmetrical about x = 20 then

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  17. If f is even function defined on the interval (-5, 5), then real value...

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  18. Which of the following function is even function

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  19. If f(x) and g(x) be two given function with all real numbers as their ...

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  20. Period of f(x)=[x]+[x+1/3]+[x+2/3]-3x+10, where [.] denotes the greate...

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