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Write of the domain and range of f(x)=sq...

Write of the domain and range of `f(x)=sqrt(x-[x])dot`

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To find the domain and range of the function \( f(x) = \sqrt{x - [x]} \), where \([x]\) denotes the greatest integer function (or floor function), we can follow these steps: ### Step 1: Understand the Function The function can be rewritten as: \[ f(x) = \sqrt{x - [x]} = \sqrt{\{x\}} \] where \(\{x\} = x - [x]\) is the fractional part of \(x\). ...
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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. If f,\ g,\ h are real functions given by f(x)=x^2,g\ (x)=tanx\ a n d\ ...

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  2. Write the domain and range of function f(x) given by f(x)=1/(sqrt(x-[x...

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  3. Write of the domain and range of f(x)=sqrt(x-[x])dot

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  4. Write the domain and range of function f(x) given by f(x)=sqrt([x]-x).

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  5. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

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  6. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

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  7. 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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  8. 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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  9. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

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  10. 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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  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: RrarrR and g: RrarrR are defined by f(x)=2x+3a n dg(x)=x^2+7, th...

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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,f(a...

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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)=sqrt[((x+1)(x-3))/(x-2)] is [-1,2)uu[3...

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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 [...

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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 R b. (-oo...

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