Answer
The impendance 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.
Impedance of circuit:
$=5+3i+(-7i)$
Simplify.
$=5-4i$
