10th-Grade-Math---USA

Polynomial-and-Rational-Expressions

Easy

Question

The quotient of rational functions $fraction numerator x squared minus 1 over denominator x squared minus 4 x plus 3 end fraction divided by fraction numerator x plus 1 over denominator x minus 3 end fraction$ is

1
$\frac{1}{x + 1}$
$\frac{x + 1}{x - 3}$
$\frac{1}{x - 3}$

The correct answer is: 1

$fraction numerator 5 a over denominator a plus 3 end fraction cross times fraction numerator a squared plus a minus 6 over denominator a squared plus 2 a plus 1 end fraction cross times left parenthesis a plus 1 right parenthesis$ =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The range of rational function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The horizontal asymptote of rational function $f left parenthesis x right parenthesis equals fraction numerator 5 x plus 1 over denominator 2 x minus 1 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Solve the radical equation $square root of 3 x end root minus 2 equals square root of 3 x plus 1 end root$ .

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Solve the radical equation $square root of 15 minus 3 x end root equals x minus 5$ .

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Adam and Jacob together can finish a work in 5 hours. Adam works twice as fast as Jacob. The number of minutes do Jacob need to finish the work is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Solve for $x colon fraction numerator 2 over denominator x plus 4 end fraction equals 3$ .

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

$1 plus fraction numerator 1 half plus 1 third over denominator 1 fourth end fraction$ =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

$fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator x over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ . =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The quotient of rational function: $fraction numerator x over denominator x minus 6 end fraction divided by fraction numerator x squared minus 2 x over denominator 3 x minus 18 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

$fraction numerator x squared minus 3 x minus 10 over denominator x cubed plus 5 x squared plus 6 x end fraction cross times left parenthesis x plus 3 right parenthesis$ . =

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The domain of rational function $fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The vertical asymptote of rational function $f open parentheses x close parentheses equals fraction numerator 4 x over denominator x minus 2 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

The varying of the reciprocal of the function $f open parentheses x close parentheses equals fraction numerator 1 over denominator x plus 2 end fraction$ is

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

Polynomial-and-Rational-Expressions

10th-Grade-Math---USA

Fill in the blank

X
1
2
3

Y
1
1/2

10th-Grade-Math---USAPolynomial-and-Rational-Expressions

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The quotient of rational functions is

1

The correct answer is: 1

Related Questions to study

=

=

The range of rational function is

The range of rational function is

The horizontal asymptote of rational function is

The horizontal asymptote of rational function is

Solve the radical equation .

Solve the radical equation .

Solve the radical equation .

Solve the radical equation .

Adam and Jacob together can finish a work in 5 hours. Adam works twice as fast as Jacob. The number of minutes do Jacob need to finish the work is

Adam and Jacob together can finish a work in 5 hours. Adam works twice as fast as Jacob. The number of minutes do Jacob need to finish the work is

Solve for .

Solve for .

=

=

. =

. =

The quotient of rational function: is

The quotient of rational function: is

. =

. =

The domain of rational function is

The domain of rational function is

The vertical asymptote of rational function is

The vertical asymptote of rational function is

The varying of the reciprocal of the function is

The varying of the reciprocal of the function is

Fill in the blank X 1 2 3 Y 1 1/2

Fill in the blank X 1 2 3 Y 1 1/2

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The quotient of rational functions $fraction numerator x squared minus 1 over denominator x squared minus 4 x plus 3 end fraction divided by fraction numerator x plus 1 over denominator x minus 3 end fraction$ is

1
$\frac{1}{x + 1}$
$\frac{x + 1}{x - 3}$
$\frac{1}{x - 3}$

$fraction numerator 5 a over denominator a plus 3 end fraction cross times fraction numerator a squared plus a minus 6 over denominator a squared plus 2 a plus 1 end fraction cross times left parenthesis a plus 1 right parenthesis$ =

$fraction numerator 5 a over denominator a plus 3 end fraction cross times fraction numerator a squared plus a minus 6 over denominator a squared plus 2 a plus 1 end fraction cross times left parenthesis a plus 1 right parenthesis$ =

The range of rational function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction$ is

The range of rational function $f left parenthesis x right parenthesis equals fraction numerator 1 over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 3 right parenthesis end fraction$ is

The horizontal asymptote of rational function $f left parenthesis x right parenthesis equals fraction numerator 5 x plus 1 over denominator 2 x minus 1 end fraction$ is

The horizontal asymptote of rational function $f left parenthesis x right parenthesis equals fraction numerator 5 x plus 1 over denominator 2 x minus 1 end fraction$ is

Solve the radical equation $square root of 3 x end root minus 2 equals square root of 3 x plus 1 end root$ .

Solve the radical equation $square root of 3 x end root minus 2 equals square root of 3 x plus 1 end root$ .

Solve the radical equation $square root of 15 minus 3 x end root equals x minus 5$ .

Solve the radical equation $square root of 15 minus 3 x end root equals x minus 5$ .

Solve for $x colon fraction numerator 2 over denominator x plus 4 end fraction equals 3$ .

Solve for $x colon fraction numerator 2 over denominator x plus 4 end fraction equals 3$ .

$1 plus fraction numerator 1 half plus 1 third over denominator 1 fourth end fraction$ =

$1 plus fraction numerator 1 half plus 1 third over denominator 1 fourth end fraction$ =

$fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator x over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ . =

$fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 1 right parenthesis end fraction plus fraction numerator x over denominator left parenthesis x minus 1 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ . =

The quotient of rational function: $fraction numerator x over denominator x minus 6 end fraction divided by fraction numerator x squared minus 2 x over denominator 3 x minus 18 end fraction$ is

The quotient of rational function: $fraction numerator x over denominator x minus 6 end fraction divided by fraction numerator x squared minus 2 x over denominator 3 x minus 18 end fraction$ is

$fraction numerator x squared minus 3 x minus 10 over denominator x cubed plus 5 x squared plus 6 x end fraction cross times left parenthesis x plus 3 right parenthesis$ . =

$fraction numerator x squared minus 3 x minus 10 over denominator x cubed plus 5 x squared plus 6 x end fraction cross times left parenthesis x plus 3 right parenthesis$ . =

The domain of rational function $fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ is

The domain of rational function $fraction numerator x plus 2 over denominator left parenthesis x minus 3 right parenthesis left parenthesis x minus 2 right parenthesis end fraction$ is

The vertical asymptote of rational function $f open parentheses x close parentheses equals fraction numerator 4 x over denominator x minus 2 end fraction$ is

The vertical asymptote of rational function $f open parentheses x close parentheses equals fraction numerator 4 x over denominator x minus 2 end fraction$ is

The varying of the reciprocal of the function $f open parentheses x close parentheses equals fraction numerator 1 over denominator x plus 2 end fraction$ is

The varying of the reciprocal of the function $f open parentheses x close parentheses equals fraction numerator 1 over denominator x plus 2 end fraction$ is

Fill in the blank

X
1
2
3

Y
1
1/2

Fill in the blank

X
1
2
3

Y
1
1/2