Find the domain of f.
-$f ( x ) = \sqrt { 6 x + 11 }$
A) $\left\{ x \mid x \leq - \frac { 11 } { 6 } \right\}$
B) $\left\{ x \mid x \geq \frac { 11 } { 6 } \right\}$
C) $\left\{ x \mid x - \frac { 11 } { 6 } \right\}$
D) $\left\{ x \mid x \geq - \frac { 11 } { 6 } \right\}$

Question

Find the domain of f.
-$f ( x ) = \sqrt { 6 x + 11 }$
A) $\left\{ x \mid x \leq - \frac { 11 } { 6 } \right\}$
B) $\left\{ x \mid x \geq \frac { 11 } { 6 } \right\}$
C) $\left\{ x \mid x > - \frac { 11 } { 6 } \right\}$
D) $\left\{ x \mid x \geq - \frac { 11 } { 6 } \right\}$

Quizplus · Accepted Answer

The domain of a square root function includes all x values for which the expression inside the square root is non-negative. For $f(x) = \sqrt{6x + 11}$, the expression inside the square root is non-negative when $6x + 11 \geq 0$. Solving this inequality for x gives $x \geq -\frac{11}{6}$, which matches choice D.

Find the Domain of F f(x)=6x+11f ( x ) = \sqrt { 6 x + 11 }f(x)=6x+11​

Find the Domain of F $f ( x ) = \sqrt { 6 x + 11 }$