Answer :

To find [tex]\( f(5) \)[/tex] for the function [tex]\( f(x) = \frac{1}{9} \times 3^x \)[/tex], follow these steps:

1. Identify the function: The function given is [tex]\( f(x) = \frac{1}{9} \times 3^x \)[/tex].

2. Substitute the value: We need to find the value when [tex]\( x = 5 \)[/tex], so substitute 5 for [tex]\( x \)[/tex] in the function:

[tex]\[
f(5) = \frac{1}{9} \times 3^5
\][/tex]

3. Calculate [tex]\( 3^5 \)[/tex]: First, compute [tex]\( 3^5 \)[/tex]:

[tex]\[
3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243
\][/tex]

4. Multiply by [tex]\(\frac{1}{9}\)[/tex]: Now, multiply the result by [tex]\(\frac{1}{9}\)[/tex]:

[tex]\[
f(5) = \frac{1}{9} \times 243 = \frac{243}{9} = 27
\][/tex]

So, the value of [tex]\( f(5) \)[/tex] is [tex]\( 27 \)[/tex].

Therefore, the correct answer is B. 27.

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