Determine the domain of the function $f ( x ) = \frac { 5 } { ( x - 2 ) ^ { 4 } }$ .
A)Domain: all real numbers except x = -5 and -2
B)Domain: all real numbers
C)Domain: all real numbers except x = -5 and 2
D)Domain: all real numbers except x = 2
E)Domain: all real numbers except x = 5 and 2

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{5}{(x - 2)^4}$ is undefined only when the denominator is zero, which occurs when $x - 2 = 0$, or $x = 2$. Therefore, the domain is all real numbers except $x = 2$.

Determine the Domain of the Function f(x)=5(x−2)4f ( x ) = \frac { 5 } { ( x - 2 ) ^ { 4 } }f(x)=(x−2)45​

Determine the Domain of the Function $f ( x ) = \frac { 5 } { ( x - 2 ) ^ { 4 } }$