The domain of the circle is [-4, 10]
How to determine the domain of the circle?
The circle equation is given as:
(x - 3)^2 + (y + 1)^2 = 49
Express 49 as 7^2
So, we have
(x - 3)^2 + (y + 1)^2 = 7^2
The general circle equation is
(x - a)^2 + (y - b)^2 = r^2
Where the domain is
Domain = [a ± r]
So, we have
Domain = [3 ± 7]
Evaluate
Domain = [3 - 7, 3 + 7]
This gives
Domain = [-4, 10]
Hence, the domain of the circle is [-4, 10]
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