Practice with rationals and multiplying

May 30, 2025/in Buy CIPD Assignments/by CIPD ASSIGNMENT HELP

Find the domain of the rational function.

g(x) = $\frac{4 - 3 x}{2}$ }

b. {x|x is a real number, x ≠ 2}

c. {x|x is a real number}

d. {x|x is a real number, x ≠ $bevelled 3 over 4$ , x ≠ 2}

Find the domain of the rational function.

R(x) = $\frac{3 + 2 x}{x^{3} + x^{2} - 2 x}$ }

c. {x|x is a real number, x ≠ 1, x ≠ -2}

d. {x|x is a real number}

Simplify the expression.

$\frac{4 b^{2} - 16}{b + 2}$

Simplify the expression.

$\frac{p^{2} - 8 p + 15}{p^{2} - 6 p + 9}$

b. p-5

c. $fraction numerator p minus 5 over denominator p minus 3 end fraction$

d. $fraction numerator p minus 5 over denominator p plus 3 end fraction$

Multiply the rational expressions and simplify.

$\frac{3 x^{2} + 2 x - 1}{4 x - 2} \times \frac{3 x - 2}{2 x^{2} + x - 1}$

b. $fraction numerator 9 x plus 2 over denominator 8 x plus 1 end fraction$

c. $9 x squared minus 9 x space plus space 2$

d. None of the above

Divide the rational expressions and simplify.

$\frac{x - 4}{2 x - 1} \div \frac{x^{2} - 16}{2 x - 1}$

c. $fraction numerator x cubed minus 4 x squared minus 16 x space plus space 16 over denominator 4 x squared minus 4 x space plus space 1 end fraction$

d. $fraction numerator 1 over denominator x minus 4 end fraction$

Multiply the rational expressions and simplify.

$\frac{18 a - 12 a^{2}}{4 a^{2} + 4 a + 1} \times \frac{4 a^{2} + 8 a + 3}{4 a^{2} - 9}$

b. $minus fraction numerator 6 a over denominator 2 a plus 1 end fraction$

c. $fraction numerator 6 a left parenthesis 3 minus 2 a right parenthesis over denominator left parenthesis 2 a plus 1 right parenthesis left parenthesis 2 a minus 3 right parenthesis end fraction$

d. -3

Divide the rational expression and simplify.

$\frac{x^{2} - 4}{3 x + 6} \div \frac{2 x^{2} - 8 x + 8}{x^{2} + 4 x + 4}$

b. $minus fraction numerator x plus 2 over denominator 6 end fraction$

c. $fraction numerator 1 over denominator 6 left parenthesis x minus 2 right parenthesis end fraction$

d. $minus fraction numerator 2 left parenthesis x minus 2 right parenthesis left parenthesis x minus 2 right parenthesis over denominator 3 end fraction$

Find g(-2) for the function below.

g(x) = $\frac{x^{2} + 8}{x^{3} - 25 x}$

Practice with rationals and multiplying

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