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Solve the inequality [x]^2-3[x]+2lt=0....

Solve the inequality `[x]^2-3[x]+2lt=0.`

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The correct Answer is:
`xin[1,3)`
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FIITJEE-FUNCTION-EXERCISES
  1. Solve the inequality x[x]-x^(3)-3[x]+3xgt0 where [.] denote greatest i...

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  2. Solve: [x]^3 - 2[x] +1 = 0,

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  3. Solve the inequality [x]^2-3[x]+2lt=0.

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  4. If y=3[x]+1=2[x-3]+5, find the value of [x+y]

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

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  6. Find the domain of following functions: f(x)=1/(sqrt(x-[x]))

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  7. Find the range of f(x)=x^(2)-3x+2,0lexle4

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  8. Find the range of f(x)=abs(sinx)+abs(cosx)0lexlepi

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  9. The range of the function sin^2x-5sinx -6 is

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  10. Find the domain and range of f(x)=log(1/sqrt([cosx]-[sinx])). [.] deno...

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  11. Find the domain of the function f(x)=3/([x/2])-5^(cos^(-1)x^(2))+( (2x...

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  12. Let f(x)=abs(sinx),0lexlepi and g(x)=abs(cosx)-pi//2lexlepi//2. Find f...

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  13. If f(x)={{:(x^(2),xle0),(x,xgt0):} and g(x)=-absx,x inR, then find fog...

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  14. State the following function is one-one or not and why? f:RtoR defin...

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  15. State which of the following functions are one-one and why? f:R^(+)t...

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  16. State which of the following functions are one-one and why? f:R.{1}t...

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  17. State which of the following function are onto and why? f:RtoR defin...

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  18. State which of the following function are onto and why? f:R^(+)toR d...

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  19. State which of the following function are onto and why? f:RtoR defi...

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  20. Is the function f:RtoR defined f(x)=cos(2x+1) invertible? Give reasons...

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