# Determine the domain for this function: f(x)=sqrt(2x)+6

Determine the domain for this function:
$f\left(x\right)=\sqrt{2x}+6$
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Kelton Glover
Domain is all values that x can take on
for this function, if $f\left(x\right)=\sqrt{2x}+6$, then x is all real numbers
if $f\left(x\right)=\sqrt{2x}+6$, then x will be all real numbers >= zero because you square root a negative number becomes an imaginary number
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Yair Valentine
You can rewrite the function as:
$y=\sqrt{2x}+6$
The domain of this function, is all the values of x that make the function valid. One thing to note, is that you cannot take the square root of a negative number, because then you're dealing with imaginary numbers, so to get the domain, solve the following:
$2x\ge 0←$ solve this for x, divide both sides by 2
$x\ge 0$
So the domain is all real numbers, or all x values greater than or equal to zero.