Answer:
12 - 11i.
Step-by-step explanation:
f(z) = 3z^2 - (4+7i)z + 3 + 2i
f(-1 + 2i) = 3(-1 + 2i)^2 - (4 + 7i)(-1 + 2i) + 3 + 2i
= 3( 1 - 2i - 2i + 4i^2) - (-4 + 8i -7i + 14i^2) + 3 + 2i
= 3( -3 - 4i) - (-18 + i) + 3 + 2i
= -9 - 12i + 18 - i + 3 +2i
= 12 - 11i.
