2. Find the domain of each rational function. $$ \begin{array}{ll} ext { (1) } R(x)=\frac{4 x}{x-3} ; & ext { (2) } Q(x)=-\frac{x(1-x)}{3 x^{2}+5 x-2} \ ext { (3) } H(x)=\frac{3 x^{2}+x}{x^{2}+4} & ext { (4) } F(x)=\frac{3\left(x^{2}-x-6 ight)}{4\left(x^{2}-9 ight)}\end{array} $$

Question

2. Find the domain of each rational function. $$ \begin{array}{ll}	ext { (1) } R(x)=\frac{4 x}{x-3} ; & 	ext { (2) } Q(x)=-\frac{x(1-x)}{3 x^{2}+5 x-2} \ 	ext { (3) } H(x)=\frac{3 x^{2}+x}{x^{2}+4} & 	ext { (4) } F(x)=\frac{3\left(x^{2}-x-6ight)}{4\left(x^{2}-9ight)}\end{array} $$

Curry Allan · Accepted Answer

- $$ R(x): \{ x \in \mathbb{R} \mid x 
eq 3 \} $$ - $$ Q(x): \{ x \in \mathbb{R} \mid x 
eq \frac{1}{3}, x 
eq -2 \} $$ - $$ H(x): \{ x \in \mathbb{R} \} $$ - $$ F(x): \{ x \in \mathbb{R} \mid x 
eq 3, x 
eq -3 \} $$

2. Find the domain of each rational function. \( \begin{array}{ll}\text { (1) } R(x)=\frac{4 x}{x-3} ; & \text { (2) } Q(x)=-\frac{x(1-x)}{3 x^{2}+5 x-2} \\ \text { (3) } H(x)=\frac{3 x^{2}+x}{x^{2}+4} & \text { (4) } F(x)=\frac{3\left(x^{2}-x-6\right)}{4\left(x^{2}-9\right)}\end{array} \)

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2. Find the domain of each rational function. \( \begin{array}{ll}\text { (1) } R(x)=\frac{4 x}{x-3} ; & \text { (2) } Q(x)=-\frac{x(1-x)}{3 x^{2}+5 x-2} \\ \text { (3) } H(x)=\frac{3 x^{2}+x}{x^{2}+4} & \text { (4) } F(x)=\frac{3\left(x^{2}-x-6\right)}{4\left(x^{2}-9\right)}\end{array} \)

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