Provide an appropriate response.
-What is the domain of the function $y = \sqrt { 1 - \frac { 1 } { x } }$ ?
A) $( - \infty , 0 ) \cup [ 1 , \infty )$
B) $( - \infty , 0 ) \cup ( 1 , \infty )$
C) $( 0,1 ]$
D) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The domain of $y = \sqrt { 1 - \frac { 1 } { x } }$ is determined by the conditions that $x \neq 0$ (since the denominator cannot be zero) and $1 - \frac { 1 } { x } \geq 0$ (since the expression under the square root must be non-negative). Solving $1 - \frac { 1 } { x } \geq 0$ gives $x \leq 0$ or $x \geq 1$. However, $x$ cannot be zero, so the domain is $( - \infty , 0 ) \cup [ 1 , \infty )$.

Provide an Appropriate Response y=1−1xy = \sqrt { 1 - \frac { 1 } { x } }y=1−x1​​

Provide an Appropriate Response $y = \sqrt { 1 - \frac { 1 } { x } }$