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Find the complete set of values of `a` such that `(x^2-x)/(1-a x)` attains all real values.

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
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  2. Identify the following functions whether odd or even or neither: f(x) ...

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  3. Find the complete set of values of a such that (x^2-x)/(1-a x) atta...

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  4. Let g: Rrarr(0,pi/3) be defined by g(x)=cos^(-1)((x^2-k)/(1+x^2)) . ...

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  5. Find the range of f(x)=(x^2+34 x-71)/(x^2+2x-7)

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  6. Let f:(-1,1)rarrB be a function defined by f(x)=tan^(-1)[(2x)/(1-x^2)...

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  7. Solve (|x+3|+x)/(x+2)>1

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  8. The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi...

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  9. Sol v e:|x-1|+|x-2|geq4.

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  10. The range of f(x)=(x+1)(x+2)(x+3)(x+4)+5 for x in [-6,6] If the range ...

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  11. Which of the following functions is (are) even, odd, or neither ? (i...

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  12. Verify the property: x × y = y × x by taking: (i) x=-1/3, y=2/7 (ii)...

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  13. Let h(x)=|k x+5|,then domainof f(x) be [-5,7], the domain of f(h(x))...

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  14. Find the domain of the following functions: f(x)=sqrt(x-sqrt(1-x^2))

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  16. The range of the following function is f(x)=sqrt((1-cosx)sqrt((1-cosx)...

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  17. Find the range of f(x)=sgn(x^2-2x+3)

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  18. Check whether the function h(x)=(sqrt(sinx)-sqrt(t a nx))(sqrt(sinx)+s...

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  19. The sum of roots of the equation cos^(-1)(cosx)=[x],[dot] denotes the ...

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  20. Find the range of f(x)=[sin{x}], where {} represents the fractional pa...

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