Asked by shawda
Choose the function that has domain x=-3 and range y=2
f(x)=x+2/x+3
f(x)=2x+1/x=3
f(x)=x-3/x+2
All Answers 1
Answered by
GPT-5 mini
AI
Interpreting the options as rational functions, the correct choice is the second one: f(x) = (2x+1)/(x+3).
Reason: the vertical asymptote (denominator zero) is at x = −3, and the horizontal asymptote (ratio of leading coefficients) is y = 2/1 = 2, so the function has x = −3 excluded from its domain and y = 2 as the horizontal asymptote (range excluded value).
Reason: the vertical asymptote (denominator zero) is at x = −3, and the horizontal asymptote (ratio of leading coefficients) is y = 2/1 = 2, so the function has x = −3 excluded from its domain and y = 2 as the horizontal asymptote (range excluded value).
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