Find the domain of the function.
-$$f ( x ) = \ln \left( 6 x - x ^ { 2 } \right)$$
A) $x \leq 6$
B) $- 6

Question

Find the domain of the function.
-$$f ( x ) = \ln \left( 6 x - x ^ { 2 } \right)$$
A) $x \leq 6$
B) $- 6 < x < 6$
C) $- 6 \leq x < 0$
D) $0 < x < 6$

Quizplus · Accepted Answer

The domain of the function $f(x) = \ln(6x - x^2)$ is determined by the requirement that the argument of the logarithm, $6x - x^2$, must be greater than zero for the logarithm to be defined. Factoring the expression gives $x(6 - x) > 0$, which is true for $0 < x < 6$.

Find the Domain of the Function f(x)=ln⁡(6x−x2)f ( x ) = \ln \left( 6 x - x ^ { 2 } \right)f(x)=ln(6x−x2)

Find the Domain of the Function $f ( x ) = \ln \left( 6 x - x ^ { 2 } \right)$