Find the domain of each function. f ( x ) = 3 x x + 3 f\left(x\right)=\frac{3x}{x+3} f ( x ) = x + 3 3 x

( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) \left(-\infty,\ -3\right)∪\left(-3,\infty\right) ( − ∞ , − 3 ) ∪ ( − 3 , ∞ )

( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,\ 3\right)∪\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ )

( − ∞ , 0 ) ∪ ( 0 , ∞ ) \left(-\infty,0\right)∪\left(0,\infty\right) ( − ∞ , 0 ) ∪ ( 0 , ∞ )

( − ∞ , − 3 ) ∪ ( 0 , ∞ ) \left(-\infty,\ -3\right)∪\left(0,\infty\right) ( − ∞ , − 3 ) ∪ ( 0 , ∞ )

Find the domain of each function. f ( x ) = 8 x − 16 x − 64 f\left(x\right)=\frac{8x-16}{x-64} f ( x ) = x − 6 4 8 x − 1 6

( − ∞ , 64 ) ∪ ( 64 , ∞ ) \left(-\infty,64\right)∪\left(64,\ \infty\right) ( − ∞ , 6 4 ) ∪ ( 6 4 , ∞ )

( − ∞ , − 8 ) ∪ ( 8 , ∞ ) \left(-\infty,-8\right)∪\left(8,\ \infty\right) ( − ∞ , − 8 ) ∪ ( 8 , ∞ )

( − ∞ , − 64 ) ∪ ( 64 , ∞ ) \left(-\infty,\ -64\right)∪\left(64,\ \infty\right) ( − ∞ , − 6 4 ) ∪ ( 6 4 , ∞ )

Find the domain of f ( x ) = x − 3 x + 4 f\left(x\right)\ =\ \frac{x-3}{x+4} f ( x ) = x + 4 x − 3 .

( − ∞ , − 4 ) ∪ ( − 4 , ∞ ) \left(-\infty,-4\right)\cup\left(-4,\infty\right) ( − ∞ , − 4 ) ∪ ( − 4 , ∞ )

( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,3\right)\cup\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ )

Find the domain of the function. f ( x ) = x + 3 x − 1 f\left(x\right)=\frac{x+3}{x-1} f ( x ) = x − 1 x + 3

( − ∞ , 1 ) ∪ ( 1 , ∞ ) \left(-\infty,1\right)∪\left(1,\infty\right) ( − ∞ , 1 ) ∪ ( 1 , ∞ )

( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) \left(-\infty,\ -3\right)∪\left(-3,\ \infty\right) ( − ∞ , − 3 ) ∪ ( − 3 , ∞ )

( − ∞ , 1 ] ∪ [ 1 , ∞ ] \left(-\infty,1\right]\ ∪\ \ \left[1,\infty\right] ( − ∞ , 1 ] ∪ [ 1 , ∞ ]

( − ∞ , − 1 ) ∪ ( − 1 , ∞ ) \left(-\infty,\ -1\right)∪\left(-1,\infty\right) ( − ∞ , − 1 ) ∪ ( − 1 , ∞ )

Find the domain of the function. f ( x ) = x + 3 5 x f\left(x\right)=\frac{x+3}{5x} f ( x ) = 5 x x + 3

( − ∞ , 0 ) ∪ ( 0 , ∞ ) \left(-\infty,0\right)∪\left(0,\infty\right) ( − ∞ , 0 ) ∪ ( 0 , ∞ )

( − ∞ , − 3 ) ∪ ( − 3 , ∞ ) \left(-\infty,\ -3\right)∪\left(-3,\ \infty\right) ( − ∞ , − 3 ) ∪ ( − 3 , ∞ )

( − ∞ , 5 ) ∪ ( 5 , ∞ ) \left(-\infty,5\right)\ ∪\ \ \left(5,\infty\right) ( − ∞ , 5 ) ∪ ( 5 , ∞ )

( − ∞ , − 1 ) ∪ ( − 1 , ∞ ) \left(-\infty,\ -1\right)∪\left(-1,\infty\right) ( − ∞ , − 1 ) ∪ ( − 1 , ∞ )

Find the domain of each function. f ( x ) = x + 5 ( x − 2 ) ( x + 4 ) f\left(x\right)=\frac{x+5}{\left(x-2\right)\left(x+4\right)} f ( x ) = ( x − 2 ) ( x + 4 ) x + 5

( − ∞ , − 5 ) ∪ ( − 5 , ∞ ) \left(-\infty,-5\right)∪\left(-5,\infty\right) ( − ∞ , − 5 ) ∪ ( − 5 , ∞ )

Find the domain of f ( x ) = x − 3 f\left(x\right)\ =\ x-3 f ( x ) = x − 3

( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,3\right)\cup\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ )

( − ∞ , − 4 ) ∪ ( − 4 , ∞ ) \left(-\infty,-4\right)\cup\left(-4,\infty\right) ( − ∞ , − 4 ) ∪ ( − 4 , ∞ )

Find the domain of each function. f ( x ) = 3 x − 21 f\left(x\right)=\sqrt{3x-21} f ( x ) = 3 x − 2 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

[ 7 , ∞ ) \left[7,\infty\right) [ 7 , ∞ )

[ 7 , ∞ ] \left[7,\infty\right] [ 7 , ∞ ]

[ 3 , ∞ ) \left[3,\infty\right) [ 3 , ∞ )

[ 21 , ∞ ) \left[21,\infty\right) [ 2 1 , ∞ )

Find the domain of each function. f ( x ) = 8 x + 40 f\left(x\right)=\sqrt{8x+40} f ( x ) = 8 x + 4 0 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

[ − 5 , ∞ ) \left[-5,\infty\right) [ − 5 , ∞ )

[ − 5 , ∞ ] \left[-5,\infty\right] [ − 5 , ∞ ]

( − 5 , ∞ ) \left(-5,\infty\right) ( − 5 , ∞ )

[ 5 , ∞ ) \left[5,\infty\right) [ 5 , ∞ )

Find the domain of f ( x ) = x − 3 x + 4 f\left(x\right)\ =\ \frac{x-3}{\sqrt{x+4}} f ( x ) = x + 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> x − 3 .

( − 4 , ∞ ) \left(-4,\infty\right) ( − 4 , ∞ )

( − ∞ , 3 ) ∪ ( 3 , ∞ ) \left(-\infty,3\right)\cup\left(3,\infty\right) ( − ∞ , 3 ) ∪ ( 3 , ∞ )

[ − 4 , ∞ ) \left[-4,\infty\right) [ − 4 , ∞ )

Calc. Domain of Functions (Rational, Radical, Polynomials)

Authored by Adeyemi Aderinto

Mathematics

10th Grade - University

Used 131+ times

Calc. Domain of Functions (Rational, Radical, Polynomials)

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19 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.
$f\left(x\right)=\frac{3x}{x+3}$

$\left(-\infty,\ 3\right)∪\left(3,\infty\right)$

$\left(-\infty,0\right)∪\left(0,\infty\right)$

$\left(-\infty,\ -3\right)∪\left(-3,\infty\right)$

$\left(-\infty,\ -3\right)∪\left(0,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.

$f\left(x\right)=\frac{8x-16}{x-64}$

$\left(-\infty,64\right)∪\left(64,\ \infty\right)$

$\left(-\infty,-8\right)∪\left(8,\ \infty\right)$

$\left(-\infty,\ -64\right)∪\left(64,\ \infty\right)$

$\left(-\infty,-8\right)∪\left(-8,8\right)\ \cup\left(8,\ \infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of
$f\left(x\right)\ =\ \frac{x-3}{x+4}$ .

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

$\left(-\infty,3\right)\cup\left(3,\infty\right)$

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

$\left(-\infty,-4\right)\cup\left(-4,3\right)\cup\left(3,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of the function.
$f\left(x\right)=\frac{x+3}{x-1}$

$\left(-\infty,\ -3\right)∪\left(-3,\ \infty\right)$

$\left(-\infty,1\right]\ ∪\ \ \left[1,\infty\right]$

$\left(-\infty,1\right)∪\left(1,\infty\right)$

$\left(-\infty,\ -1\right)∪\left(-1,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of the function.
$f\left(x\right)=\frac{x+3}{5x}$

$\left(-\infty,\ -3\right)∪\left(-3,\ \infty\right)$

$\left(-\infty,5\right)\ ∪\ \ \left(5,\infty\right)$

$\left(-\infty,0\right)∪\left(0,\infty\right)$

$\left(-\infty,\ -1\right)∪\left(-1,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.

$f\left(x\right)=\frac{x}{x^2-121}$

$\left(-\infty,11\right)∪\left(11,\ 11\right)\cup\left(11,\infty\right)$

$\left(-\infty,-11\right)∪\left(-11,\ 11\right)\cup\left(11,\infty\right)$

$\left(-\infty,-11\right)\cup\left(11,\infty\right)$

$\left(-\infty,121\right)∪\left(121,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.

$f\left(x\right)=\frac{x+5}{\left(x-2\right)\left(x+4\right)}$

$\left(-\infty,2\right)∪\left(-4,\ 2\right)\cup\left(-4,\infty\right)$

$\left(-\infty,-4\right)∪\left(-4,\ 2\right)\cup\left(2,\infty\right)$

$\left(-\infty,-2\right)∪\left(-2,\ 4\right)\cup\left(4,\infty\right)$

$\left(-\infty,-5\right)∪\left(-5,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of
$f\left(x\right)\ =\ x-3$

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

$\left(-\infty,3\right)\cup\left(3,\infty\right)$

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

$\left(-\infty,-4\right)\cup\left(-4,3\right)\cup\left(3,\infty\right)$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.

$f\left(x\right)=\frac{3x+12}{x^2-6x+8}$

$\left(-\infty,2\right)∪\left(-4,\ 2\right)\cup\left(-4,\infty\right)$

$\left(-\infty,-4\right)∪\left(-4,\ -2\right)\cup\left(-2,\infty\right)$

$\left(-\infty,2\right)∪\left(2,\ 4\right)\cup\left(4,\infty\right)$

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

10.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the domain of each function.

$f\left(x\right)=\frac{x^2+5x-6}{x^2+10x+24}$

$\left(-\infty,-6\right)∪\left(-6,\ 1\right)\cup\left(1,\infty\right)$

$\left(-\infty,-6\right)∪\left(-6,\ -4\right)\cup\left(-4,\infty\right)$

$\left(-\infty,4\right)∪\left(4,\ 6\right)\cup\left(6,\infty\right)$

$\left(-\infty,-6\right)∪\left(-4,\infty\right)$

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Calc. Domain of Functions (Rational, Radical, Polynomials)

Find the domain of each function. f(x)=3xx+3f\left(x\right)=\frac{3x}{x+3}f(x)=x+33x​

Find the domain of each function. f(x)=8x−16x−64f\left(x\right)=\frac{8x-16}{x-64}f(x)=x−648x−16​

Find the domain of f(x) = x−3x+4f\left(x\right)\ =\ \frac{x-3}{x+4}f(x) = x+4x−3​ .

Find the domain of the function. f(x)=x+3x−1f\left(x\right)=\frac{x+3}{x-1}f(x)=x−1x+3​

Find the domain of the function. f(x)=x+35xf\left(x\right)=\frac{x+3}{5x}f(x)=5xx+3​

Find the domain of each function. f(x)=xx2−121f\left(x\right)=\frac{x}{x^2-121}f(x)=x2−121x​

Find the domain of each function. f(x)=x+5(x−2)(x+4)f\left(x\right)=\frac{x+5}{\left(x-2\right)\left(x+4\right)}f(x)=(x−2)(x+4)x+5​

Find the domain of f(x) = x−3f\left(x\right)\ =\ x-3f(x) = x−3

Find the domain of each function. f(x)=3x+12x2−6x+8f\left(x\right)=\frac{3x+12}{x^2-6x+8}f(x)=x2−6x+83x+12​

Find the domain of each function. f(x)=x2+5x−6x2+10x+24f\left(x\right)=\frac{x^2+5x-6}{x^2+10x+24}f(x)=x2+10x+24x2+5x−6​

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Find the domain of each function.
$f\left(x\right)=\frac{3x}{x+3}$

Find the domain of each function.

$f\left(x\right)=\frac{8x-16}{x-64}$

Find the domain of
$f\left(x\right)\ =\ \frac{x-3}{x+4}$ .

Find the domain of the function.
$f\left(x\right)=\frac{x+3}{x-1}$

Find the domain of the function.
$f\left(x\right)=\frac{x+3}{5x}$

Find the domain of each function.

$f\left(x\right)=\frac{x}{x^2-121}$

Find the domain of each function.

$f\left(x\right)=\frac{x+5}{\left(x-2\right)\left(x+4\right)}$

Find the domain of
$f\left(x\right)\ =\ x-3$

Find the domain of each function.

$f\left(x\right)=\frac{3x+12}{x^2-6x+8}$

Find the domain of each function.

$f\left(x\right)=\frac{x^2+5x-6}{x^2+10x+24}$