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Let f(x)=|x-1|dot Then (a)f(x^2)=(f(x))^...

Let `f(x)=|x-1|dot` Then (a)`f(x^2)=(f(x))^2` (b) `f(x+y)=f(x)+f(y)` (c)`f(|x|)=|f(x)|` (d) none of these

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Which one of the following is not a function? {(x , y): x , y in R , ...

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  2. If f(x)="cos"((log)e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value ...

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  3. Let f(x)=|x-1|dot Then (a)f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c)f(...

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  4. The range of F(X) = Cos [X], Where − π/ 2 < X < π/ 2 . is

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  5. Which of the following are function: {(x , y): y^2=x , x , y in R} b...

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

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  7. 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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  8. 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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  9. Let A={x in R : x!=0,\ -4lt=xlt=4} and f: A->R be defined by f(x)=(|x...

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

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

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

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

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

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

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

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

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

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