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Find the range of the function

 

f(x)= (x^2+14x+9)/(x^2+2x+3)


as x varies over all real numbers.

 Aug 1, 2020
 #1
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f(0) = 3.

 

As x increases, f(x) decreases, but does not reach 1.  So the range of f(x) is [3,1).

 Aug 14, 2020

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