SOLUTION: Given: f(x)=x^2+27/x Ultimately, I am supposed to analyze the graph of this function, but my immediate question is ONLY regarding what text says should be first step: "First, writ

Algebra ->  Functions -> SOLUTION: Given: f(x)=x^2+27/x Ultimately, I am supposed to analyze the graph of this function, but my immediate question is ONLY regarding what text says should be first step: "First, writ      Log On


   



Question 1076077: Given: f(x)=x^2+27/x
Ultimately, I am supposed to analyze the graph of this function, but my immediate question is ONLY regarding what text says should be first step: "First, write f(x) as an improper rational function in lowest terms."
They show: f(x)=x^2+27/x = (x^3+27)/x.
I don't understand this result.
Does not multiplying both terms by "x" (the LCD) eliminate the fraction, resulting in just x^3+27 ?
Thank you.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Given: f(x)=x^2+27/x
Ultimately, I am supposed to analyze the graph of this function, but my immediate question is ONLY regarding what text says should be first step: "First, write f(x) as an improper rational function in lowest terms."
They show: f(x)=x^2+27/x = (x^3+27)/x.
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That's not correct.
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Maybe it says x%5E3%2Fx+%2B+27%2FX ?