answer needs to be in interal notation meaning using inf and 'cup' symbols.
2007-10-14 16:25:04 · 2 answers · asked by icygurl205 1 in Science & Mathematics ➔ Mathematics
The domain of f(x) is assumed to be all real numbers except when the denominator is equal to 0. Factoring the denominator, we get 6(x^2+1-20) = 6(x+5)(x-4). This is equal to 0 when x = -5 or when x = 4.
So, the domain is all real numbers except -5 and 4. In interval notation, this is (-infinity, -5), (-5,4) (4, infinity)
2007-10-14 16:32:49 · answer #1 · answered by jruzzy 2 · 0⤊ 0⤋
Please learn to use parentheses. I assume you mean
f(x) = 9 / (6x² + 6x - 120)
The domain is all real numbers except for where the function is undefined. That would be when the denominator equals zero. Factor and simplify f(x).
f(x) = 9 / (6x² + 6x - 120) = 9 / [6(x² + x - 20)]
f(x) = 3 / [2(x + 5)(x - 4)]
So the domain is all real numbers except -5 and 4. In your notation that would be:
Domain = (-â, -5) U (-5, 4) U (4, â)
2007-10-14 23:43:45 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋