Give the domain and range for the rational function. Use interval notation.
-$$f ( x ) = \frac { 1 } { ( x + 4 ) ^ { 2 } }$$
A) Domain: $( - \infty , - 4 ) \cup ( - 4 , \infty ) ;$ Range: $( 0 , \infty )$
B) Domain: $( - \infty , - 4 ) \cup ( - 4 , \infty )$; Range: $( - \infty , \infty )$
C) Domain: $( - \infty , - 4 ) \cup ( - 4 , \infty )$; Range: $( - \infty , 0 ) \cup ( 0 , \infty )$
D) Domain: $( - \infty , 4 ) \cup ( 4 , \infty )$; Range: $( - \infty , 0 ) \cup ( 0 , \infty )$

Question

Quizplus · Accepted Answer

The function is undefined at $x = -4$, hence the domain excludes -4. The function's output is always positive, making the range $(0, \infty)$.

Give the Domain and Range for the Rational Function f(x)=1(x+4)2f ( x ) = \frac { 1 } { ( x + 4 ) ^ { 2 } }f(x)=(x+4)21​

Give the Domain and Range for the Rational Function $f ( x ) = \frac { 1 } { ( x + 4 ) ^ { 2 } }$