Question

domain, range, and evaluate exponential function
algebra 2 > ★ z.1 domain and range of exponential functions efd
what is the domain of this exponential function?
$y = \left(\frac{1}{3}\
ight)^{x+9}$
$\\{x \mid x \geq 0\\}$
all real numbers
$\\{x \mid x \geq 1\\}$
$\\{x \mid x > 0\\}$
$\\{x \mid x > 1\\}$
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domain and range of exponential functions: equations

Explanation:

Step1: Recall domain of exponentials

For any function $y = b^{f(x)}$ where $b>0, b
eq1$, $f(x)$ can be any real number.

Step2: Analyze given function

Here, $f(x)=x+9$, which accepts all real $x$.

Step3: Conclude domain

No restrictions on $x$, so domain is all real numbers.

Answer:

all real numbers