SOLUTION: If {{{ f(z)= z^2 -3z+3 }}} is a complex function of the complex variable z, evaluate each quantity:
a) f(i)
b) f(-1)
c) f(-1+i)
d) f(2+i)
Algebra.Com
Question 1193126: If is a complex function of the complex variable z, evaluate each quantity:
a) f(i)
b) f(-1)
c) f(-1+i)
d) f(2+i)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
It is a complex function (b^2-4ac=-3)
f(i)=I^2-3i+3=2-3i
f(-1)=7
f(-1+i)=1-2i+I^2+3-3i+3=6-5i
f(2+i)=4+4i+I^2-6-3i+3=i
RELATED QUESTIONS
if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity:... (answered by MathLover1)
if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity:... (answered by MathLover1)
if f(z)=z^2-3z 3 is a complex function of the complex variable z, evaluate the quantity:... (answered by ikleyn)
if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity:... (answered by MathLover1)
if f(z)=z^2-3z 3 is a complex function of the complex variable z, evaluate the quantity:... (answered by ikleyn)
if f(z)=z^2-3z+3 is a complex function of the complex variable z, evaluate the quantity:... (answered by MathLover1)
I am having trouble with these two questions. Can someone please explain.
1. Let z = a (answered by oscargut)
Factorise each of the following over C
a) f(z)=z^3+z^2+2z-4
b)g(z)= z^3+(2-i)z^2-z-2+i
(answered by solver91311)
Determine the average rate of change of the function between the given values of the... (answered by stanbon)