Answer :

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

1. Substitute 5 for [tex]\( x \)[/tex]: Start by replacing [tex]\( x \)[/tex] with 5 in the function. This gives us:
[tex]\[
f(5) = \frac{1}{9} \times 3^5
\][/tex]

2. Calculate [tex]\( 3^5 \)[/tex]: The exponentiation of 3 to the power of 5 is:
[tex]\[
3^5 = 3 \times 3 \times 3 \times 3 \times 3 = 243
\][/tex]

3. Multiply by [tex]\(\frac{1}{9}\)[/tex]: Take the result from the previous step and multiply by [tex]\(\frac{1}{9}\)[/tex]:
[tex]\[
f(5) = \frac{1}{9} \times 243 = 27
\][/tex]

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

C. 27

Thanks for taking the time to read Find tex f 5 tex for tex f x frac 1 9 3 x tex A 3 B 81 C 27 D 9. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada