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Are all numbers complex?
The answer is Yes, for the purposes of most Math students. There are, number systems that have been devised which are outside the set of Complex Numbers, though.
What is the domain of the function f(x) x2 plus 3x plus 5?
The domain can be any set that you like: from the set of complex numbers down to the set comprising just one number, eg {7.39}.
Is the square root of 1 an irrational number?
No. An irrational number is still a real number - it lives on the number line.The square root of -1 (known as i) is an imaginary number. It is on the imaginary axis of the complex plane.A number with components from the real axis and the imaginary axis is a complex number, and is on the complex plane.
Is the square root of negative 6 irrational?
No, it is not irrational because it is a square root of a negative number - which falls into the set of Complex numbers. Irrational numbers can not have an imaginary component.
Every integer is a complex number?
Yes. Every integer is a rational number. Every rational number is a real number. Every real number is a complex number. The complex numbers include all real numbers and all real numbers multiplied by the imaginary number i=sqrt(-1) and all the sums of these.
