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If f: [-2, 2] -> R is defined by f(x)...

If `f: [-2, 2] -> R` is defined by `f(x)={-1`,for `-2<=x<=0` , then `x-1`, for `0<=x<=2` `[x in [-2, 2] : x <= 0 and f(| x |) = x} =`

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Which of the following are function: {(x , y): y^2=x , x , y in R} b...

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  2. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

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  3. If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) ...

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  4. If f(x)=cos((log)e x),\ t h e n\ f(1/x)f(1/y)-1/2{f(x y)+f(x/y)} is eq...

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  5. Let A={x in R : x!=0,\ -4lt=xlt=4} and f: A->R be defined by f(x)=(|x...

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  6. Let f(x)=x,g(x)=1/x and h(x)=f(x)g(x) . Then h(x)=1 for a.x in R b. x...

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  7. If f: R->R : x!=0,\ -4lt=xlt=4 and f: A->A be defined by f(x)=(|x|)/x ...

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  8. If f: RvecR and g: RvecR are defined by f(x)=2x+3a n dg(x)=x^2+7, then...

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  9. If f: [-2, 2] -> R is defined by f(x)={-1,for -2<=x<=0 , then x...

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  10. If f(x)=64x^3+1/x^3 and alpha,beta are the roots of 4x+1/x=3. Then,val...

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  11. The domain of the function f(x)=sqrt(2-2x-x^2) is [-sqrt(3),\ sqrt(3)]...

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  12. The domain of the function f(x)=((x+1)(x-3))/(x-2) is a. [-1,2)uu[3,o...

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  13. The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3...

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  14. The domain of definition of the function f(x)=sqrt(x-1)+sqrt(3-x) is a...

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  15. The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((...

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  16. The domain of definition of the function f(x)="log"|x| is a.R b. (-o...

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  17. The domain of definition of f(x)=x-3-2sqrt(x-4)-x-3+2sqrt(x-4) is a. ...

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  18. The domain of the function f(x)=sqrt(5|x|-x^2-6) is (a) (-3,\ -2)uu(...

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  19. The range of the function f(x)=(x+2)/(|x+2|),\ x!=-2 is {-1,1} b. {-1,...

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  20. The range of the function f(x)=x/(|x|) is a.R-{0} b. R-{-1,1} c. {-1,1...

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