Answer :
We are given the function
[tex]$$
f(x) = \frac{1}{7} \cdot 7^x.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$3$[/tex] for [tex]$x$[/tex]:
[tex]$$
f(3) = \frac{1}{7} \cdot 7^3.
$$[/tex]
First, compute [tex]$7^3$[/tex]:
[tex]$$
7^3 = 7 \times 7 \times 7 = 343.
$$[/tex]
Now, substitute [tex]$343$[/tex] back into the expression:
[tex]$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7} = 49.
$$[/tex]
Thus, the value of [tex]$f(3)$[/tex] is [tex]$49$[/tex].
[tex]$$
f(x) = \frac{1}{7} \cdot 7^x.
$$[/tex]
To find [tex]$f(3)$[/tex], substitute [tex]$3$[/tex] for [tex]$x$[/tex]:
[tex]$$
f(3) = \frac{1}{7} \cdot 7^3.
$$[/tex]
First, compute [tex]$7^3$[/tex]:
[tex]$$
7^3 = 7 \times 7 \times 7 = 343.
$$[/tex]
Now, substitute [tex]$343$[/tex] back into the expression:
[tex]$$
f(3) = \frac{1}{7} \cdot 343 = \frac{343}{7} = 49.
$$[/tex]
Thus, the value of [tex]$f(3)$[/tex] is [tex]$49$[/tex].