Question

What is the domain of the function
y=4√2x-5

Answer 1

is all of 2x-5 under square root?

Answer 2

Yes

Answer 3

ok, what numbers can x not take on? anything that would cause it to take the square root of a negative number so

\[2x-5\ge0\]

Answer 4

so solving that we get

x>=5/2

that means the domain is all real numbers greater than or equal to 5/2 which you can write as

\[[5/2, \infty)\]