The given function is expressed as
f(x) = |x^2 + 2|
To find the value of f(3i), we would substitute x = 3i into the function. It becomes
f(3i) = |(3i)^2 + 2|
f(3i) = |(3^2 *i^2) + 2|
We know that i^2 = - 1
It becomes
f(3i) = |9 *- 1) + 2|
f(3i) = |- 9 + 2|
f(3i) = |- 7|
