Question

what is the domain of $g(x)=6^{-x}$?(type your answer in interval notation.)help me solve this view an example get

Explanation:

Step1: Identify function type

The function $g(x)=6^{-x}$ is an exponential function, which can be rewritten as $g(x)=\frac{1}{6^x}$.

Step2: Analyze valid input values

Exponential functions accept any real number as input, since $6^x$ is defined for all real $x$, and the denominator is never zero.

Step3: Write in interval notation

All real numbers span from negative infinity to positive infinity.

Answer:

$(-\infty, \infty)$