Use the image to answer the question.

A curve with arrows at both the ends facing upward is plotted on a coordinate plane with x and y axes ranging from negative 10 to 10 in unit increments.

Marge draws this graph of the exponential function f(x)=12(5)x−3
. Complete the inequality to show the domain of Marge’s function.

(1 point)
The domain of Marge’s function can be described as −∞<x<
.

1 answer

The domain of the exponential function \( f(x) = 12(5)^{x-3} \) is all real numbers. Therefore, the inequality can be completed as:

\[ -\infty < x < \infty \]

So, your answer is:

The domain of Marge’s function can be described as \( -\infty < x < \infty \).

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