Functions finding the domains
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Functions finding the domains

[From: ] [author: ] [Date: 11-10-21] [Hit: ]
(it is the same problem as a, but with different numbers)-Rational functions have a limited domain as the denominator cannot be zero.......

Domain = ℝ - [-2, +2]
Normally, in set notation, the subtraction sign would be a backward slash, but Yahoo!Answer (or my computer) won't allow me to use it.

Here, the borders get a square bracket because they ARE part of the interval that must be removed.

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In the second function, you look for the same "problem areas":

1) You cannot divide by zero, therefore look for values of x that make the denominator equal to zero (these values of x will NOT be part of the domain)

2)You cannot take the square root of a negative number, therefore look for values of x that make the root act on a negative value. You will get an interval, which is NOT part of the domain.
(it is the same problem as a, but with different numbers)

-
Rational functions have a limited domain as the denominator cannot be zero.

a) x² - 4 ≠ 0

=> x ≠ 2 or -2

b) x² - 1 ≠ 0

=> x ≠ 1 or -1

:)>
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