Find the domain of the expression.
-$$\frac { 7 x - 8 } { ( 3 x - 2 ) ( x + 9 ) }$$
A) $\left\{ \left\{ x \mid x \neq \frac { 3 } { 2 } , - 9 \right\} \right.$
B) $\left\{ \left\{ x \mid x \neq \frac { 2 } { 3 } , - 9 \right\} \right.$
C) $\left\{ \left\{ x \mid x \neq - \frac { 2 } { 3 } , 9 \right\} \right.$
D) all real numbers

Question

Quizplus · Accepted Answer

The domain excludes values that make the denominator zero. Solving $3x - 2 = 0$ gives $x = \frac{2}{3}$ and solving $x + 9 = 0$ gives $x = -9$. Thus, the domain is all real numbers except $x = \frac{2}{3}$ and $x = -9$.

Find the Domain of the Expression 7x−8(3x−2)(x+9)\frac { 7 x - 8 } { ( 3 x - 2 ) ( x + 9 ) }(3x−2)(x+9)7x−8​

Find the Domain of the Expression $\frac { 7 x - 8 } { ( 3 x - 2 ) ( x + 9 ) }$