Free Printable Domain Restrictions: Rational and radical functions

Worksheets

Name

Class

Date

What is the domain restriction of $f\left(x\right)=\sqrt{x+5}$ ?

$x\ne0$

$x\ne-5$

$x\ge-5$

$x\ge0$

What are the domain restrictions of $f\left(x\right)=\frac{x+3}{x^2-16}$ ?

$x\ne4,-4$

$x\ne0$

$x\ge16$

$\left(-4,4\right)$

Determine the domain of $f\left(x\right)=\frac{6}{\sqrt{x+2}}$

$x>2$

$x\ge0$

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

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

What is the domain restriction of $f\left(x\right)=\frac{3}{2x+7}$ ?

$x\ne\frac{7}{2}$

$x\ne-\frac{7}{2}$

$x\ne-7$

$x\ne7$

Find the domain $f\left(x\right)=\frac{6}{\sqrt{x}}$

All real numbers but $x\ne0$

$x\ge0$

$x>0$

All real numbers

What are the domain restrictions $f\left(x\right)=\frac{3}{x^2+6x+5}$

$x\ne-5,-1$

$x\ne1,5$

$x>5,\ x<1$

$x<-5,\ x>-1$

100 %

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