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Answer:
Step-by-step explanation:
1) Rewrite in the form
, where a = y and b = 1.
2) Use Square of Difference: .
3) Factor .
1 - Ask: Which two numbers add up to 6 and multiply to -7?
-1 and 7
2 - Rewrite the expression using the above.
Outcome/Result:
4) Rewrite the expression with a common denominator.
5) Expand.
6) Collect like terms.
7) Simplify to
When taking square roots, you can't take square roots of negative roots of negative numbers. So, what will work for the domain of u(x) is what makes u(x) zero or more. We can make an inequality for that.
u(x) ≥ 0.
9x + 27 ≥ 0 by squaring both sides
9x ≥ -27
x ≥ -3
So the domain of the function is when x ≥ -3 is true.