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Answer :
We are given the function
[tex]$$
f(x) = \frac{1}{9} \cdot 9^x.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$x=3$[/tex] into the function:
[tex]$$
f(3) = \frac{1}{9} \cdot 9^3.
$$[/tex]
First, calculate [tex]$9^3$[/tex]:
[tex]$$
9^3 = 9 \times 9 \times 9 = 729.
$$[/tex]
Now, substitute this value back into the expression:
[tex]$$
f(3) = \frac{1}{9} \times 729.
$$[/tex]
Finally, multiply:
[tex]$$
\frac{729}{9} = 81.
$$[/tex]
Thus, the answer is [tex]$\boxed{81}$[/tex].
[tex]$$
f(x) = \frac{1}{9} \cdot 9^x.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$x=3$[/tex] into the function:
[tex]$$
f(3) = \frac{1}{9} \cdot 9^3.
$$[/tex]
First, calculate [tex]$9^3$[/tex]:
[tex]$$
9^3 = 9 \times 9 \times 9 = 729.
$$[/tex]
Now, substitute this value back into the expression:
[tex]$$
f(3) = \frac{1}{9} \times 729.
$$[/tex]
Finally, multiply:
[tex]$$
\frac{729}{9} = 81.
$$[/tex]
Thus, the answer is [tex]$\boxed{81}$[/tex].
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