Determine the domain of the function.

f(x) = 4/(x^2)

Question

Determine the domain of the function.

f(x) = 4/(x^2)

anonymous · Answer

I think it's all real numbers except 0 but I'm not sure

lyrae · Answer

correct :)

anonymous · Answer

Could you help me with another?

lyrae · Answer

Sure

anonymous · Answer

domain of: $$f(x)=\sqrt{7+x}$$

lyrae · Answer

Do you have an idea what it might be?

anonymous · Answer

I don't remember how to solve the ones with square roots

lyrae · Answer

Okay, so for what numbers does a square root produce real answer?

anonymous · Answer

I'm not sure...

anonymous · Answer

@Lyrae

lyrae · Answer

Well, it's all real numbres grater then or eqal to 0 (try squaring a negative number on your calculator and you'll get an error or weird answer)

anonymous · Answer

okay

lyrae · Answer

So this gives us that what's inside that root has to be >= 0 
This results in the following inequality: 
7 + x >= 0

lyrae · Answer

Where x is all real numbres

lyrae · Answer

Do you know the final answer?

anonymous · Answer

So the domain is all real numbers?

lyrae · Answer

If you solve the inequality you get
x >= -7
x is all real numbers, so the answer is: all numbres grater than or equal to -7 
or in a more formal way $$\left\{x \in \mathbb{R} : x \ge -7\right\}$$

anonymous · Answer

Thank you sosossosososo much!!!!

lyrae · Answer

all real numbres*
NP happy to help :)