Complex Fractions: Technicalities I started with this:
...and ended up with this: Copyright © Elizabeth Stapel 20032011 All Rights Reserved
The first two domain restrictions were easy. The subfraction in the complex fraction's numerator will be undefined if x – 1 = 0, and the subfraction in the denominator will be undefined if x + 4 = 0. The other restriction is harder. I had to consider the entire denominator. This would be zero when the numerator (of the denominator) was zero. Converting to a fraction, I got this: The denominator will be zero when x^{2} + x – 11 is zero. Solving, I get:



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