SOLUTION: Find the domain of the function h {{{x/(x^2+3x+2)+2/(x+1)}}} , where x is real. Determine whether or not h is one-to-one.

Algebra ->  Functions -> SOLUTION: Find the domain of the function h {{{x/(x^2+3x+2)+2/(x+1)}}} , where x is real. Determine whether or not h is one-to-one.      Log On


   

Question 1072950: Find the domain of the function h
x%2F%28x%5E2%2B3x%2B2%29%2B2%2F%28x%2B1%29 , where x is real. Determine whether or not h is one-to-one.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%2F%28%28x%2B2%29%28x%2B1%29%29%2B%282%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B1%29%29
y=%28x%2B2%28x%2B2%29%29%2F%28%28x%2B2%29%28x%2B1%29%29
y=%28x%2B2x%2B4%29%2F%28%28x%2B2%29%28x%2B1%29%29
y=%283x%2B4%29%2F%28%28x%2B2%29%28x%2B1%29%29
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So the domain is all values except x=-2 and x=-1.
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Not one-to-one since it doesn't pass the horizontal line test.