Find the Domain f(x)= Square root (2x-6)?

Answer 1

2x-6 >=0, so x >=3

>= means "is greater than or equal to". The rule for square roots is that the radicand must be >= 0.

Answer 2

g(x) = SQRT(2x+6) g(x) is the output x is in enter. g is the call of the recipe which you practice to x, as a manner to get the output. consequently, the recipe is SQRT(2x+6). area = what values may be used as enter. variety = what values can come out as output. consequently, while you're working with actual numbers, the value interior the muse would be unable to be destructive (you won't be able to discover the sq. root of a destructive form). consequently, x would be unable to be smaller than -3. area = From -3 to + infinity (with -3 being secure interior the area). the variety, consequently, is slightly trickier. in this context, g is a "function". by ability of definition, a function can in effortless terms have one value. in spite of the incontrovertible fact that, all of us understand that sq. roots can sometimes have 2 achievable solutions. as an occasion, -2 could be a valid root for +4, because of the fact (-2)(-2) = +4 So, in arithmetic, one ought to define which set of value to apply. except there's a particular coaching to do in any different case, the convention is to apply the non-destructive value because of the fact the muse. variety = all non-destructive numbers (from 0 to + infinity, with 0 secure interior the variety) In actual numbers, infinity itself is in no way secure (because of the fact this is not any longer a "actual" form).

Answer 3

domain of f(x) is the set of all x for which f(x) is defined,
for which sqrt(2x - 6) exists,
so
doamin of f = all x s.t. 2x - 6>=0
or 2x >= 6
x > 3 or x =3

Ans doamin (f) = 3 to infinity

Answer 4

x >=3 because only numbers 0 and larger have real square roots

Answer 5

2x-6≥0 <--> x≥3 --> D= [3, +inf)

saludos.