Give the domain and range for the rational function. Use interval notation.
-$$f ( x ) = \frac { 2 } { x } + 3$$
A) Domain: $( - \infty , 3 ) \cup ( 3 , \infty ) ;$ Range: $( - \infty , 0 ) \cup ( 0 , \infty )$
B) Domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; Range: $( - \infty , - 3 ) \cup ( - 3 , \infty )$
C) Domain: $( - \infty , 2 ) \cup ( 2 , \infty )$; Range: $( - \infty , 3 ) \cup ( 3 , \infty )$
D) Domain: $( - \infty , 0 ) \cup ( 0 , \infty ) ;$ Range: $( - \infty , 3 ) \cup ( 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of $f(x) = \frac{2}{x} + 3$ excludes $x = 0$ because division by zero is undefined, hence the domain is $(-\infty, 0) \cup (0, \infty)$. The range is all real numbers except 3, as the function approaches infinity or negative infinity as $x$ approaches 0 from either side, but it never equals 3.

Give the Domain and Range for the Rational Function f(x)=2x+3f ( x ) = \frac { 2 } { x } + 3f(x)=x2​+3

Give the Domain and Range for the Rational Function $f ( x ) = \frac { 2 } { x } + 3$