f(x)=2x+14/x2+7 I need to write in simplified form and list all restrictions on the domain :eek:

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- Mar 21st 2006, 07:28 PMCherryBlossomHelp! I need help with a homework problem!
f(x)=2x+14/x2+7 I need to write in simplified form and list all restrictions on the domain :eek:

- Mar 21st 2006, 08:30 PMearbothQuote:

Originally Posted by**CherryBlossom**

there are three possible ways to read your equation. Which one was meant, I don't know:

1. $\displaystyle f(x)=2x+\frac{14}{x^2}+7=\frac{2x^3+7x^2+14}{x^2}, \ x\in \mathbb{R} \setminus {0}$ because the division by zero (0) is not allowed.

2. $\displaystyle f(x)=2x+\frac{14}{x^2+7}=\frac{2x^3+14x+14}{x^2+7} ,\ x\in \mathbb{R} $ because $\displaystyle x^2+7\geq 0$, that means: no restrictions.

3. $\displaystyle f(x)=\frac{2x+14}{x^2+7},\ x\in \mathbb{R} $ because $\displaystyle x^2+7\geq 0$, that means: no restrictions.

Greetings

EB