Find the quotient of the rational function 2+3i over 4-5i

please help me.

You multiply top and bottom of your fraction 2+3i over 4-5i by the conjugate (4+5i) of the
denominator; then simplify

[ -7 +22i]/41

it is a rational expression, not a function.

rationalize the denominator...use the conjugate

[(2 + 3i)(4 + 5i)] / [(4 - 5i)(4 + 5i)] = [8 + 22i + 15i^2] / [16 - 25i^2] =

[- 7 + 22i] / [41]

¶