Find domain and range of 1\under root 9-x2

Asked by Ritika Gupta | 28th Sep, 2013, 08:36: PM

Expert Answer:

As the quantity under the root cannot be negative,
hence, 9 - x2 ? 0
9 ? x2
x2 ? 9
-3 ? x ? 3
Hence, domain = [-3, 3]
 
Now, for any value of x such that -3 ? x ? 3, the value of f(x) will lie between 0 and 3.
Hence, range of f(x) is [0, 3].

Answered by  | 28th Sep, 2013, 09:24: PM

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