CPM Homework Help : PC3 Problem 5-75

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5-75.

If $f(x)=x^2+7x+9$ , evaluate:

$f(−3)$
Step (a):
$f(-3)=(-3)^2+7(-3)+9$

$f(i)$
Step (b):
$f(i)=(i)^2+7(i)+9$
Hint (b):
$i^2=-1$

$f(−3+i)$
Step 1(c):
$f(-3+i)=(-3+i)^2+7(-3+i)+9$
Step 2(c):
$=9-3i-3i+i^2-21+7i+9$

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