What is the domain of x in this expression?
y+2/x+3 + √16x

A. all real numbers
B. all real numbers except -3 and -2
c. all real positive numbers and 0
D. all real numbers except -3,-2, and 0

Question

What is the domain of x in this expression?
y+2/x+3 + √16x

A. all real numbers
B. all real numbers except -3 and -2
c. all real positive numbers and 0
D. all real numbers except -3,-2, and 0

anonymous · Answer

Can you rewrite in the equation editor? Your syntax is a little unclear, but is it:
$$\frac{y+2}{x+3}+\sqrt{16x}$$

anonymous · Answer

yes exactly like that

anonymous · Answer

is it y+2 or y=?.... should be y(x)=

anonymous · Answer

y+2

anonymous · Answer

Okay, domain is defined as possible x-values, right? so what x value would give us an undefined value or an imaginary number?

anonymous · Answer

0?

anonymous · Answer

not quite. if x+3=0, then our first term (y+2)/(x+3) becomes undefined. Also if x is a negative number in our second term sqrt(16x) then we get an error because you can't take the square root of a negative number, right?