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

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CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Solve (|x+3|+x)/(x+2)&gt;1

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

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

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

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

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

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  9. If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest inte...

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

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

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

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

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

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  15. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

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  16. If f(x)=sin(log)e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is a...

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  17. Solve the following 1lt=|x-2|lt=3

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  18. if f(x)={x^3+x^2, for 0<=x<=2 x + 2,for2<x<=4 ,t h e n find the even a...

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  19. There are exactly two distinct linear functions, and , which map [...

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  20. Solve the following 0<|x-3|lt=5

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