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Find the domain and range of the rea...

Find the domain and range of the real function
`f(x) = sqrt(9 -x^(2))`

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The correct Answer is:
Domain = [-3,3] , `" "` Range = [0,3]
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NAGEEN PRAKASHAN-RELATIONS AND FUNCTIONS-Exercise 2D
  1. Find the domain of the following functions: (1)/(x-3)

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  2. Find the domain of the following functions: (1)/(x+1)

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  3. Find the domain of the following functions: (x-2)/(x+4)

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  4. Find the domain of the following functions: (1)/(x^(2)-4)

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  5. Find the domain of the following functions: sqrt(x-4)

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

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  7. Find the domain of the following functions: (1)/(sqrt(4-x))

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  8. Find the domain of the following functions: sqrt((x-2)(4-x))

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  9. Find the domain of the following functions: (1)/(sqrt(25-x^(2)))

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  10. Find the domain of the following functions: (x^(2)+5x+30)/(x^(2)-8x+...

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  11. Find the domain and range of the following functions: (x-3)/(2-x)

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  12. Find the domain and range of the following functions: (1)/(sqrt(x-3)...

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  13. Find the domain and range of the following functions: (x^(2))/(1+x^(...

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  14. Find the domain and range of the following functions: (x^(2)-4)/(x-...

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  15. Find the domain and range of the real function f(x) = sqrt(9 -x...

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  16. Find the domain and range of the following functions: sqrt(2-x)

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  17. Find the domain and range of the following functions: (1)/(sqrt(x))

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  18. Find the domain and range of the following functions: sqrt(1-x^(2))

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