Question
Marge draws this graph of the exponential function f(x)=1/2(5)^x−3
. Complete the inequality to show the domain of Marge’s function.
. Complete the inequality to show the domain of Marge’s function.
Answers
GPT-4o mini
The function \( f(x) = \frac{1}{2}(5)^x - 3 \) is an exponential function. The domain of an exponential function, in general, is all real numbers. Therefore, we can express the domain of Marge's function in inequality form as:
\[
-\infty < x < \infty
\]
So the completed inequality showing the domain of Marge’s function is \( x \in (-\infty, \infty) \).
\[
-\infty < x < \infty
\]
So the completed inequality showing the domain of Marge’s function is \( x \in (-\infty, \infty) \).