Domain Restrictions

 $f\left(x\right)=$   $\frac{5}{x}$  What is the restricted domain?

•  $\left(-\infty,\ 5\right)\ U\left(5,\infty\right)$  
  

•  $\left(-\infty,\ 0\right)\ U\left(0,\infty\right)$  

•  $\left[5,\infty\right)$  

•  $\left(-\infty,\ 0\right]\ U\ \left[0,\ \infty\right)$  

 $f\left(x\right)=\frac{2x}{x^2+7x\ +10}$  Choose the domain for which the function is defined.

•  $\left(-\infty,2\right)U\ \left(2,\infty\right)$  

•  $\left(5,\ \infty\right)$  

•  $\left(2,\ \infty\right)$  

•  $\left(-\infty,-5\right)U\ \left(-5,-2\right)U\left(-2,\infty\right)$  

 $f\left(x\right)=\frac{3}{x+4}$  What is the restricted domain?

•  $\left[4,\infty\right)$  

•  $\left[3,\infty\right)$  

•  $\left(-\infty,3\right)U\left(3,\ \infty\right)$  

•  $\left(-\infty,\ -4\right)U\ \left(-4,\ \infty\right)$  

 $f\left(x\right)=\frac{3}{x-6}$  What is the excluded domain?

•  $\left(-\infty,6\right)U\left(6,\ \infty\right)$  

•  $\left(-\infty,3\right)U\left(3,\ \infty\right)$  

•  $\left[3,\ \infty\right)$  

•  $\left[6,\ \infty\right]$  

 $f\left(x\right)=\frac{5}{\sqrt{x-2}}$  Choose the domain for which the function is defined.

•  $\left(-\infty,2\right)U\left(2,\ \infty\right)$  

•  $\left(-\infty,5\right)U\left(5,\ \infty\right)$  

•  $\left(2,\infty\right)$  

•  $\left[5,\infty\right)$  

 $f\left(x\right)\ =\ \frac{1}{\sqrt{x+4}}$  Choose the domain for which the function is defined?

•  $\left(-4,\infty\right)$  

•  $\left(-\infty,4\right]$  

•  $\left[4,\ \infty\right)$  

•  $\left(-\infty,\ -4\right]$  

 $f\left(x\right)=\frac{x-3}{\sqrt{x+2}}$  Choose the domain for which the function is defined.

•  $\left[2,\ \infty\right)$  

•  $\left(-2,\ \infty\right)$  

•  $\left(-\infty,2\right]$  

•  $\left(-\infty,-2\right]$  

 $f\left(x\right)=\frac{\sqrt{x-3}}{x+8}$  Choose the domain for which the function is defined.  

•  $x\ne3\ and\ x\le8$  

•  $x\ne3\ and\ x\ge8$  

•  $x\ne8\ and\ x\ge3$  

•  $x\ne-8\ and\ x\ge3$  

 $f\left(x\right)=\frac{\sqrt{x+4}}{x-3}$  Choose the domain for which the function is defined.

•  $x\ne4\ and\ x\ \le3$  

•  $x\ne3\ and\ x\ge4$  

•  $x\ne3\ and\ x\ge-4$  

•  $x\ne-4\ and\ x\ge3$  

 $f\left(x\right)\ =\ \frac{\sqrt{5x+10}}{x^2-13x\ -30}$  Choose the domain for which the function is defined.

•  $\left(-\infty,\ -2\right)\ U\ \left(-2,\ 15\right)U\ \left(15,\ \infty\right)$  

•  $\left(-2,\ 15\right)U\ \left(15,\ \infty\right)$  

•  $\left[-2,\ \infty\right)$  

•  $\left[-30,\infty\right)$