Posted by Zukii on Wednesday, March 9, 2011 at 10:32am.
Find the domain:
f(x)= x27x+12/x48x3+13x2+30x72

Calculus  MathMate, Wednesday, March 9, 2011 at 9:09pm
Do not forget the parentheses:
f(x)= (x27x+12)/(x48x3+13x2+30x72)
The domain of f(x) is the intersections of the domain of the numerator and denominator, less the zeroes of the denominator.
The domain of polynomials is ℝ, for both the numerator and denominator. The roots of the denominator can be found by factorization, = (x4)(x3)²(x+2)
So at these values of x, there will be a vertical asymptote, and these three values have to be deducted from the domain.
Answer This Question
Related Questions
 Calculus  Find the derivative of f. you may simplify before differentiating f(x...
 calculus  find all discontinuities (16x/2x38x3=0)
 Algebra  Factor completely: 1. 8x3 + 2x3 – 12x –3 2. 27x3+8 3.125 – 8x3
 calculus  for the given functions f&g, find the following and state the domain ...
 calculus  for the given functions f&g, find the following and state the domain ...
 calculus  for the given functions f and g, find the following and state the ...
 Algebra  I posted this earlier in the day but no one answered. Can anyone help ...
 Algebra: factoring  I need to find the value of x. 9x^3 + 9x = 30x^2 It's ...
 calculus  Find all relative extrema of the function. (Enter NONE in any unused ...
 math, algebra  can someone correct this for me or help me. 6x^2y^3+ 9x^2y^3 ...
More Related Questions