SOLUTION: PLEASE HELP ME! Explain the steps too. Find domain of f(x)=(sqrt(-10-2x))/(x^2+4x-32)

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Question 716266: PLEASE HELP ME! Explain the steps too. Find domain of f(x)=(sqrt(-10-2x))/(x^2+4x-32)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find domain of f(x)=(sqrt(-10-2x))/(x^2+4x-32)
Restriction for square roots:
radican≥0
-10-2x≥0
-2x≥10
divide by -2 and reverse inequality sign
x≤-5
..
Restriction for denominators:
Set denominator=0, then solve for x-values that make the function undefined:
x^2+4x-32=0
(x+8)(x-4)=0
x≠-8
x≠4
..
domain: (-∞-8) U (-8,-5]