Find the specified domain and express it in interval notation.
-For $f ( x ) = x ^ { 2 } - 9$ and $g ( x ) = 2 x + 3$, what is the domain of $\left( \frac { f } { g } \right) ( x )$ ?
A) $( - 3,3 )$
B) All real numbers
C) All real numbers except $- \frac { 3 } { 2 }$
D) $\left[ - \frac { 3 } { 2 } , \infty \right]$

Question

Quizplus · Accepted Answer

The domain of $\left( \frac { f } { g } \right) ( x )$ is all real numbers except where the denominator $g(x) = 2x + 3$ equals zero. Solving $2x + 3 = 0$ gives $x = -\frac{3}{2}$. Thus, the domain excludes $-\frac{3}{2}$.

Find the Specified Domain and Express It in Interval Notation f(x)=x2−9f ( x ) = x ^ { 2 } - 9f(x)=x2−9

Find the Specified Domain and Express It in Interval Notation $f ( x ) = x ^ { 2 } - 9$