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

Passafaromx

Passafaromx

Answered question

2022-08-08

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

Answer & Explanation

Kelton Glover

Kelton Glover

Beginner2022-08-09Added 17 answers

Domain is all values that x can take on
for this function, if f ( x ) = 2 x + 6, then x is all real numbers
if f ( x ) = 2 x + 6, then x will be all real numbers >= zero because you square root a negative number becomes an imaginary number
Yair Valentine

Yair Valentine

Beginner2022-08-10Added 6 answers

You can rewrite the function as:
y = 2 x + 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:
2 x 0 solve this for x, divide both sides by 2
x 0
So the domain is all real numbers, or all x values greater than or equal to zero.

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