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Answer :
Let's evaluate the function [tex]\( f(x) = \left(\frac{1}{9}\right)\left(9^x\right) \)[/tex] at [tex]\( x = 3 \)[/tex].
1. Substitute 3 for [tex]\( x \)[/tex] in the function:
[tex]\[
f(3) = \left(\frac{1}{9}\right)\left(9^3\right)
\][/tex]
2. Calculate [tex]\( 9^3 \)[/tex]:
[tex]\[
9^3 = 9 \times 9 \times 9 = 81 \times 9 = 729
\][/tex]
3. Multiply [tex]\(\frac{1}{9}\)[/tex] by 729:
[tex]\[
f(3) = \left(\frac{1}{9}\right) \times 729 = \frac{729}{9} = 81
\][/tex]
So, the value of [tex]\( f(3) \)[/tex] is [tex]\( 81 \)[/tex].
The correct answer is A. 81.
1. Substitute 3 for [tex]\( x \)[/tex] in the function:
[tex]\[
f(3) = \left(\frac{1}{9}\right)\left(9^3\right)
\][/tex]
2. Calculate [tex]\( 9^3 \)[/tex]:
[tex]\[
9^3 = 9 \times 9 \times 9 = 81 \times 9 = 729
\][/tex]
3. Multiply [tex]\(\frac{1}{9}\)[/tex] by 729:
[tex]\[
f(3) = \left(\frac{1}{9}\right) \times 729 = \frac{729}{9} = 81
\][/tex]
So, the value of [tex]\( f(3) \)[/tex] is [tex]\( 81 \)[/tex].
The correct answer is A. 81.
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