2007-01-29 22:50:01 · 3 answers · asked by theweirdguy1 2 in Science & Mathematics ➔ Mathematics
The domain is the set of all real numbers that allow a real outcome of the function
Since you can't divide by 0, in this case 2 - x can't be 0 (as the square root of 0 is 0. So x can't be 2 (as 2 - 2 = 0). Neither can x be greater than 2, as that would mean 2 - x is negative, and you can't take the square root of a negative number and have a real number as an answer
So x must be less than 2
The domain is (-∞, 2)
Note the use of the curved parethesis indicating strictly less than 2, rather than a square bracket ] which would indicate equal or less than 2.
2007-01-29 23:11:10 · answer #1 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋
x<2
2007-01-30 06:53:39 · answer #2 · answered by Iman S 2 · 0⤊ 0⤋
As sqrts of negative numbers don´t exist and the denominator can´t be zero
the domaine is x<2
2007-01-30 07:05:42 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋