Answer :
We are given the function
[tex]$$
f(x)=\frac{1}{7} \cdot 7^x.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$x=3$[/tex]:
[tex]$$
f(3) = \frac{1}{7} \cdot 7^3.
$$[/tex]
First, calculate [tex]$7^3$[/tex]:
[tex]$$
7^3 = 7 \times 7 \times 7 = 343.
$$[/tex]
Now substitute back:
[tex]$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7} = 49.
$$[/tex]
Thus, the answer is [tex]$\boxed{49}$[/tex], which corresponds to option C.
[tex]$$
f(x)=\frac{1}{7} \cdot 7^x.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$x=3$[/tex]:
[tex]$$
f(3) = \frac{1}{7} \cdot 7^3.
$$[/tex]
First, calculate [tex]$7^3$[/tex]:
[tex]$$
7^3 = 7 \times 7 \times 7 = 343.
$$[/tex]
Now substitute back:
[tex]$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7} = 49.
$$[/tex]
Thus, the answer is [tex]$\boxed{49}$[/tex], which corresponds to option C.
