Answer :
We are given the function
$$
f(x) = \frac{1}{7} \cdot 7^x.
$$
To find $f(3)$, substitute $x = 3$ into the function:
$$
f(3) = \frac{1}{7} \cdot 7^3.
$$
First, compute $7^3$:
$$
7^3 = 343.
$$
Now multiply by $\frac{1}{7}$:
$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7}.
$$
Simplify the fraction:
$$
\frac{343}{7} = 49.
$$
Thus, the value of $f(3)$ is $49$, which corresponds to option B.
$$
f(x) = \frac{1}{7} \cdot 7^x.
$$
To find $f(3)$, substitute $x = 3$ into the function:
$$
f(3) = \frac{1}{7} \cdot 7^3.
$$
First, compute $7^3$:
$$
7^3 = 343.
$$
Now multiply by $\frac{1}{7}$:
$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7}.
$$
Simplify the fraction:
$$
\frac{343}{7} = 49.
$$
Thus, the value of $f(3)$ is $49$, which corresponds to option B.
