What is an appropriate domain for the local linear approximation of the square root of x ((radical)(x))? And why? Give explanation please
2007-09-10 11:20:30 · 2 answers · asked by iamsuperpeace 2 in Science & Mathematics ➔ Mathematics
f ( x ) = √ x
Domain is { x : x is a +ve Real Number }
2007-09-16 07:11:35 · answer #1 · answered by Como 7 · 1⤊ 1⤋
The domain will be all positive real numbers and zero. Negative numbers do not have a real root, but zero and positive numbers do.
If you are in a higher math level then the domain will also include complex conjugates for negative roots. These would be written in the form a*i, where "i" is the sqare root of negative one and "a" is the square root of the absolute value. Disregard this however, if you are not in an advanced course.
2007-09-11 08:40:57 · answer #2 · answered by Scruff 2 · 0⤊ 0⤋