Answer :
Let's solve the problem step-by-step:
We are given the function [tex]\( f(x) = \left(\frac{1}{9}\right) \left(9^x\right) \)[/tex].
To find [tex]\( f(3) \)[/tex], we will substitute [tex]\( x = 3 \)[/tex] into the function:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
f(3) = \left(\frac{1}{9}\right) \left(9^3\right)
\][/tex]
2. Calculate [tex]\( 9^3 \)[/tex]:
[tex]\[
9^3 = 9 \times 9 \times 9 = 729
\][/tex]
3. Now compute [tex]\( \left(\frac{1}{9}\right) \times 729 \)[/tex]:
[tex]\[
\left(\frac{1}{9}\right) \times 729 = \frac{729}{9} = 81
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 81.
The correct answer is [tex]\( \boxed{81} \)[/tex].
We are given the function [tex]\( f(x) = \left(\frac{1}{9}\right) \left(9^x\right) \)[/tex].
To find [tex]\( f(3) \)[/tex], we will substitute [tex]\( x = 3 \)[/tex] into the function:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[
f(3) = \left(\frac{1}{9}\right) \left(9^3\right)
\][/tex]
2. Calculate [tex]\( 9^3 \)[/tex]:
[tex]\[
9^3 = 9 \times 9 \times 9 = 729
\][/tex]
3. Now compute [tex]\( \left(\frac{1}{9}\right) \times 729 \)[/tex]:
[tex]\[
\left(\frac{1}{9}\right) \times 729 = \frac{729}{9} = 81
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 81.
The correct answer is [tex]\( \boxed{81} \)[/tex].
