Answer :
We are given the function
[tex]$$
f(x)=\frac{1}{9}\cdot 9^x.
$$[/tex]
To evaluate [tex]$f(3)$[/tex], follow these steps:
1. Substitute [tex]$x=3$[/tex] into the function:
[tex]$$
f(3)=\frac{1}{9}\cdot 9^3.
$$[/tex]
2. Calculate [tex]$9^3$[/tex]:
[tex]$$
9^3=9\cdot9\cdot9=729.
$$[/tex]
3. Now, multiply by the coefficient:
[tex]$$
f(3)=\frac{1}{9}\cdot729=\frac{729}{9}=81.
$$[/tex]
Thus, the value of [tex]$f(3)$[/tex] is [tex]$\boxed{81}$[/tex].
[tex]$$
f(x)=\frac{1}{9}\cdot 9^x.
$$[/tex]
To evaluate [tex]$f(3)$[/tex], follow these steps:
1. Substitute [tex]$x=3$[/tex] into the function:
[tex]$$
f(3)=\frac{1}{9}\cdot 9^3.
$$[/tex]
2. Calculate [tex]$9^3$[/tex]:
[tex]$$
9^3=9\cdot9\cdot9=729.
$$[/tex]
3. Now, multiply by the coefficient:
[tex]$$
f(3)=\frac{1}{9}\cdot729=\frac{729}{9}=81.
$$[/tex]
Thus, the value of [tex]$f(3)$[/tex] is [tex]$\boxed{81}$[/tex].
