Answer the question about the given function.
-Given the function $f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }$, what is the domain of $f$ ?
A) $\{ x \mid x \neq - 8 \}$
B) $\{ x \mid x \neq 3 \}$
C) $\left\{ x \mid x \neq \frac { 3 } { 8 } \right\}$
D) $\{ x \mid x \neq 8 \}$

Question

Quizplus · Accepted Answer

The domain of a function includes all the values of $x$ for which the function is defined. For the given function $f(x) = \frac{x^2 + 3}{x - 8}$, the denominator cannot be zero because division by zero is undefined. Therefore, $x - 8 \neq 0$, which implies $x \neq 8$. This makes option D correct, as it excludes the value that would make the denominator zero, ensuring the function is defined for all other real numbers.

Answer the Question About the Given Function f(x)=x2+3x−8f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }f(x)=x−8x2+3​

Answer the Question About the Given Function $f ( x ) = \frac { x ^ { 2 } + 3 } { x - 8 }$