Find the Domain of the Function $f ( x ) = \frac { 1 } { x ^ { 2 } + 5 x - 14 }$

question 97

Short Answer

Find the domain of the function.
- $f ( x ) = \frac { 1 } { x ^ { 2 } + 5 x - 14 }$
A) $\{ x \mid x \neq - 7 \text { and } x \neq 2 \} , \text { or } ( - \infty , - 7 ) \cup ( - 7,2 ) \cup ( 2 , \infty )$
B) $\{ x \mid x \neq - 7 \} \text {, or } ( - \infty , - 7 ) \cup ( - 7 , \infty )$
C) $\{ x \mid x \neq 2 \} , \text { or } ( - \infty , 2 ) \cup ( 2 , \infty )$
D) all real numbers, or $( - \infty , \infty )$

• A) \(\{ x \mid x \neq - 7 \text { and } x \neq 2 \} , \text { or } ( - \infty , - 7 ) \cup ( - 7,2 ) \cup ( 2 , \infty )\)
• B) \(\{ x \mid x \neq - 7 \} \text {, or } ( - \infty , - 7 ) \cup ( - 7 , \infty )\)
• C) \(\{ x \mid x \neq 2 \} , \text { or } ( - \infty , 2 ) \cup ( 2 , \infty )\)
• D) all real numbers, or \(( - \infty , \infty )\)

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