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