Answer
The impendence of the circuit is $5-4i$ ohms.
Work Step by Step
The resistor has a resistance of $5$ ohms, so its impedance is $5$ ohms. The inductor
has a reactance of $3$ ohms, so its impedance is $3i$ ohms. The capacitor has a
reactance of $7$ ohms, so its impedance is $-7i$ ohms.
Hence, the impedance of the circuit is
$$
\begin{aligned}
5+3 i+(-7 i) &=5+3 i-7 i \\
&=5-4 i
\end{aligned}
$$
So, the impedance of the circuit is $5-4 i$ ohms
