Question

Consider the function $g(x)=(-3)^x$ ,which is not an exponential function.What are the possible rational numbers $x$ for which $g(x)$ is defined.

   Consider the function $g(x)=(-3)^x$ ,which is not an exponential function.What are the possible rational numbers $x$ for which $g(x)$ is defined.
Precalculus: A Right Triangle Approach
Precalculus: A Right Triangle Approach
Ratti, McWaters,… 5th Edition
Chapter 4, Problem 120 ↓
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Consider the function $g(x)=(-3)^x$ ,which is not an exponential function.What are the possible rational numbers $x$ for which $g(x)$ is defined.
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Transcript

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00:01 If we have x to the negative third and we want to explore non -zero real numbers and behavior, let's consider 2, positive 2 to the negative 3rd, and negative 2 to the negative 3rd.
00:18 Well 2 to the negative 3rd is 1 over 2 to the 3rd, which is 1 over 8...
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