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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 expression for [tex]\( f(x) \)[/tex]:
[tex]\[
f(x) = \frac{1}{9} \times 3^x
\][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = \frac{1}{9} \times 3^5
\][/tex]
3. Calculate [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]:
[tex]\[
f(5) = \frac{1}{9} \times 243
\][/tex]
5. Simplify the multiplication:
[tex]\[
\frac{243}{9} = 27
\][/tex]
Therefore, the value of [tex]\( f(5) \)[/tex] is [tex]\( 27 \)[/tex].
Correct answer is D. 27
1. Identify the expression for [tex]\( f(x) \)[/tex]:
[tex]\[
f(x) = \frac{1}{9} \times 3^x
\][/tex]
2. Substitute [tex]\( x = 5 \)[/tex] into the function:
[tex]\[
f(5) = \frac{1}{9} \times 3^5
\][/tex]
3. Calculate [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]:
[tex]\[
f(5) = \frac{1}{9} \times 243
\][/tex]
5. Simplify the multiplication:
[tex]\[
\frac{243}{9} = 27
\][/tex]
Therefore, the value of [tex]\( f(5) \)[/tex] is [tex]\( 27 \)[/tex].
Correct answer is D. 27
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