Answer
$-\frac{7}{3}$ is the zero of $f(x)$.
Work Step by Step
Set $f(x)=0$ then solve for $x$:
$0=3 x+7$
Adding $-7$ on both sides we get
$-7 = 3x$
Divide by $3$ on both sides:
$x=-7 / 3$.
Thus, the zero of $f(x)$ is $ -\frac{7}{3}$.