Find the domain of the function. -$$f ( x ) = \log _ { 6 } \left( 36 - x ^ { 2 } \right)$$ A) $- 36

Name: Find the domain of the function. -\[f ( x ) = \log _ { 6 } \left( 36 - x ^ { 2 } \right)\] A) $- 36 6$
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Question

Find the domain of the function.
-$$f ( x ) = \log _ { 6 } \left( 36 - x ^ { 2 } \right)$$
A) $- 36 < \mathrm { x } < 36$
B) $- 6 \leq x \leq 6$
C) $- 6 < x < 6$
D) $x < - 6$ and $x > 6$

Quizplus · Accepted Answer

The argument of the logarithm, $36 - x^2$, must be greater than 0 for the function to be defined. Solving $36 - x^2 > 0$ gives $x^2 < 36$, which simplifies to $-6 < x < 6$.

Find the Domain of the Function f(x)=log⁡6(36−x2)f ( x ) = \log _ { 6 } \left( 36 - x ^ { 2 } \right)f(x)=log6​(36−x2)

Find the Domain of the Function $f ( x ) = \log _ { 6 } \left( 36 - x ^ { 2 } \right)$