The largest set on which $f ( x ) = \sqrt { x + 4 }$ is continuous is
A) $( - \infty , \infty )$
B) $( - 4 , \infty )$
C) $( 4 , \infty )$
D) $[ - 4 , \infty )$
E) $[ 4 , \infty )$

Question

Quizplus · Accepted Answer

The function $f(x) = \sqrt{x + 4}$ is continuous for all values of $x$ that make the expression under the square root non-negative. This occurs when $x + 4 \geq 0$, or $x \geq -4$. Therefore, the largest set on which $f(x)$ is continuous is $[ - 4 , \infty )$.

The Largest Set on Which f(x)=x+4f ( x ) = \sqrt { x + 4 }f(x)=x+4​

The Largest Set on Which $f ( x ) = \sqrt { x + 4 }$