SOLUTION: can you show me how to solve f(x)= x^2 +4 If I can see the example to find domain...I think I can explain to my son. I understand what domain is just not how to set up the proble

Algebra.Com
Question 157185This question is from textbook
: can you show me how to solve f(x)= x^2 +4
If I can see the example to find domain...I think I can explain to my son. I understand what domain is just not how to set up the problem and work it.
This question is from textbook

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
can you show me how to solve f(x)= x^2 +4
If I can see the example to find domain...I think I can explain to my son. I understand what domain is just not how to set up the problem and work it.
-------------
Set f(x) = 0
x^2+4 = 0
x^2 = -4
x = +2i
x = -2i
i = sqrt(-1)
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -16 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -16 is + or - .

The solution is , or
Here's your graph:


RELATED QUESTIONS

Can you show me how to solve one problem so I can help my son with his homework. Am... (answered by stanbon,advanced_Learner)
State the domain and range of f^-1 (x), given f(x)=(x-1)^2 +2 ** Please note their... (answered by Nate)
my problem is I need to find the domain and range for f(x)=The Square Root of... (answered by edjones)
My problem is: Find the domain. f(x) = x³ - 2 I have no clue as to how to solve this with (answered by Edwin McCravy)
Can someone show me how to work the following problem and graph it? I am trying to... (answered by stanbon,solver91311)
my son is having trouble with this problem and i can not help with it. could you explain... (answered by wilft1)
I just learned Composite functions last class and I am really struggling with it... Is... (answered by stanbon)
I have been trying to solve this. I am getting fustrated with this problem because I just (answered by Fombitz)
Hello, I need help with my assignment. Can you help me please? 1.Graph the relation... (answered by Theo)