The instructions state:
Describe the graph of y = sqrt( 7 - x^2 - 6x ) relative to the graph of y = sqrt( x ). HINT: sqrt( 7 - x^2 -6x ) = sqrt( 7 - ( x^2 + 6x )); complete the square
This is my work thus far:
7 - ( X^2 + 6x ) = 0
- ( x^2 + 6x ) = -7
above mult by -1 (on both sides)
x^2 +...
Somehow this problem is probably a lot easier than I am making it out to be but I'm so stuck. I'm not sure where to begin.
Let f(x) = x^2 - |x-2|, find the domain.
My work:
x^2 - |x-2| = 0
x^2 = |x-2|
sqrt(x^2) = sqrt(|x-2|)
I'm not sure why I went to square roots, I think I'm just...
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