Questions: g(x)=(1/3)^x Find g(x) for each x-value in the table x g(x) -3 27 -2 9 -1 3 0 333/1000 1

Transcript text: \[ g(x)=\left(\frac{1}{3}\right)^{x} \] Find $g(x)$ for each $x$-value in the table \begin{tabular}{|c|c|} \hline$x$ & $g(x)$ \\ \hline-3 & 27 \\ \hline-2 & 9 \\ \hline-1 & 3 \\ \hline 0 & $\frac{333}{1000}$ \\ \hline 1 & \\ \hline \end{tabular}

Solution

Solution Steps

To find $ g(x) $ for each $ x $-value, we need to evaluate the function $ g(x) = \left(\frac{1}{3}\right)^{x} $ for the given $ x $-values. We will calculate $ g(x) $ for $ x = 1 $ using this formula.

Step 1: Evaluate $ g(x) $ for $ x = 1 $

To find $ g(1) $, we use the function defined as $ g(x) = \left(\frac{1}{3}\right)^{x} $. Substituting $ x = 1 $ into the function gives us: \[ g(1) = \left(\frac{1}{3}\right)^{1} = \frac{1}{3} \]

Final Answer

The value of $ g(1) $ is $ \boxed{\frac{1}{3}} $.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!