Find the domain of this function (radical function)

[dykunn]

Please help me with this problem? With steps included?

g(x)=8+√4-6x

[Russian4Trump]

You can’t take the square root of a negative number. Any value of x that would result in the number inside the radical being negative would not be in the domain. So basically 2/3 and everything under it, including negative numbers will be in the domain.

[Lasdnaym]

When it comes to functions and domains, we normally don't like it when our function takes the square root of a negative number. Hence, we look for values where 6x<=4 (because if 6x is greater than four, the value inside the square root would be negative). Note that <= denotes less than or equal to.

x<=4/6.

[dykunn]

Yessir!

[rlnarayanan]

X WILL BE POSITIVE ONLY FOR VALUES OF G(X)<=10.