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Find the domain of each of the following...

Find the domain of each of the following real fuctions:
(i) `f(x)=sqrt(x-3)` (ii) `g(x)=sqrt(4-x^(2))` (iii) `h(x)=(1)/(sqrt(1-x))`.

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To find the domain of the given functions, we need to determine the set of all possible values of \( x \) for which each function is defined. ### (i) For \( f(x) = \sqrt{x - 3} \): 1. **Set the expression inside the square root greater than or equal to zero**: \[ x - 3 \geq 0 \] ...
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RS AGGARWAL-FUNCTIONS-PROBLEMS BASED ON DOMANIS AND RANGES OF REAL FUNCTIONS SOLVED EXAMPLES
  1. Find the domain and the range of the real function, f(x)=(x^(2)+1)/(x^...

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  2. Find the domain of the real-valued function: f(x)=(x^(2)-x+1)/(x^(2)...

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  3. Find the domain of each of the following real fuctions: (i) f(x)=sqr...

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  4. Find the domain of the function, f(x)=sqrt(3-x)+(1)/(sqrt(x^(2)-1)).

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  5. Find the rage of each of the following functions. (i) f(x)" "=" "2" "...

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  6. Find the domain and the range of the function, f(x)=(x-2)/(x-3).

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  7. Find the domain and range of each of the following real valued func...

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  8. Find the domain and the range of each of the functions given below. ...

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  9. Find the domain and the range of the real function, f(x)=(1)/sqrt(x-2)

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  10. Find the domain and range of the following real functions:(i) f(x)=-|x...

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  11. Find the domain and range of the function f(x) = x/(1+x^2)

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  12. Find the domain and the range of the real function, f(x)=(3)/((2-x^(2)...

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  13. Let f ={(x ,(x^2)/(1+x^2)):x in R}be a function from R into R. Determi...

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  14. Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...

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  15. Find the domain and the range of the function, f(x)=(x^(2)-25)/(x-5).

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  16. Find the domain and the range of the real function, f(x)=(3-x)/(x-3).

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  17. Find the domain and the range of the real function, f(x)=(|x-3|)/((x-3...

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  18. Find the domain and the range of the real function, f(x)=(1)/(sqrt(x+|...

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  19. Show that f(x)=(1)/sqrt(x-|x|) is not defined for any x""inR. How will...

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  20. Find the domain and the range of the real function, f(x)=(1)/(sqrt(x+[...

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