Domain of Square Root Functions

Find the Domain of the function.
 $f\left(x\right)=\sqrt{x-3}$  

•  $x\ =3$  

•  $x>-3$  

•  $x\ge3$  

•  $x\ne3$  

Find the Domain of the function.

 $f\left(x\right)=\sqrt{x+1}$  

•  $x\ne1$  

•  $x\ge-1$  

•  $x=1$  

•  $x>-1$  

Find the Domain of the function.

 $f\left(x\right)=\sqrt{2x-3}$  

•  $x\ge-3$  

•  $x\ge2$  

•  $x\ge\frac{2}{3}$  

•  $x\ge\frac{3}{2}$  

Tags

CCSS.HSA.REI.A.2

Find the Domain of the function.

 $f\left(x\right)=\sqrt{2x+16}$  

•  $x\ge-8$  

•  $x\ge-16$  

•  $x\ge8$  

•  $x\ge16$  

Tags

CCSS.HSA.REI.A.2

Find the Domain of the function.

 $f\left(x\right)=\sqrt{5x-35}$  

•  $x\ne7$  

•  $x\ge7$  

•  $x>7$  

•  $x=7$  

Tags

CCSS.HSA.REI.A.2

Find the Domain of the function.

 $f\left(x\right)=\sqrt{2x-8}$  

•  $x\ge2$  

•  $x\ge-8$  

•  $x\ge4$  

•  $x\ge16$  

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Find the Domain of the function.

 $f\left(x\right)=\sqrt{6x+36}+18$  

•  $x\ge18$  

•  $x\ge6$  

•  $x\ge36$  

•  $x\ge-6$  

Tags

CCSS.HSA.REI.A.2

Find the Domain of the function.

• $x\ge2$

• $x\ge1$

• $x\ge0$

• $x\ge4$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5

Find the Domain of the function.

• $x\ge-3$

• $x\ge5$

• $x\ge0$

• $x\ge1$

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

CCSS.HSF.IF.B.5

Find the Domain of the function.

• $x\ge-4$

• $x\ge15$

• $x\ge0$

• $x\ge4$

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.5