Question

find the domain and range of the function f(x) =underoot 3 +x ^2​

Answer 1

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Answer 2

Answer:

We have,

f(x)=

(x−1)(3−x)

Now,

Under square root the polynomial must be positive. The domain is obtained by solving:-

(x−1)(3−x)≥0

You can obtain the zeroes of the polynomial

(x−1)(3−x)=0

If

x−1=0

x=1

If

3−x=0

⇒x=3

So,

x=1,3

So the polynomial is solved in the external intervals.