Intro to Finding Domain

How would you find the domain?

 $f\left(x\right)=\frac{7x}{x^2-7x+12}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=\frac{7x}{\sqrt{x-8}}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=\sqrt{x-8}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=\left(-8x+1\right)^{\frac{1}{3}}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $\left(-x+11\right)^{\frac{1}{2}}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=x^5-5x^3+7x-1$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=\frac{8x-5}{7}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=\frac{9x}{\left(2x+3\right)^{\frac{1}{2}}}$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=7x^9-12x+2$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$  

How would you find the domain?

 $f\left(x\right)=2\sqrt{3x-1}+6$  

• set denominator  $\ne$  0

• set radicand  $\ge$  0

• set radicand  $>$  0

• no restrictions, domain is  $\left(-\infty,\infty\right)$