What is the domain for this given function, what is the square root of 6-x?

Question

need help with explanation

Answer 1

domain is x<6 or (-infinity, 6)

The dude below me is wrong
if x > 6, then there will be a negative number under the radical which doesn't work out- invalid input for a function

Answer 2

The domain would be (-infinity, 6]
You would not be able to have any values of x greater than 6, because then you are taking the square root of an negative number and get into imaginary numbers.
So, the domain goes from 6 on to negative infinity, because any value of x less than 6 gives you a positive number under the swquare root, which means it's possible to compute. For example, for x=2, we got squareroot (6-2) = squareroot(4) = 2.
This is true for negative numbers as well, as if x= -10, we would have squareroot 6-(-10) = squareroot 6 + 10=squareroot 16 = 4.
Hope this helps. If you need further explination, e-mail me.
:-)

Answer 3

The domain for that function is every real number smaller or equal than 6. Why? because if the value is bigger than 6, the square root will be undefined or it will need an imaginary number.

Hope this helps.

Answer 4

y= sq.(6+x), x>=6. Did you recommend -6? i will assume -6. First swap the x and y X= sq.(6+y). Now remedy for y X^2= 6+y Y= x^2 -6 Now the first function is the proper 1/2 of a parabola, the position x >=-6, and y >=0 for the inverse, we ought to swap the area and variety, too. So y>=-6 and x>=0. the y reduce is dealt with by using the function, So the inverse is f^-a million(x)= x^2-6, x>=0 this can supply us the effective 1/2 of the parabola. ----------- yet on the starting up: in case you meant x>=6 if you're purely looking on the section the position x>=6, then y >=sq.(12) So the inverse will be F^-a million(x)= x^2-6, x>= sq.(12) Hoping this enables! ***human beings are thumbing down, yet it truly is ideal. If f(x) is sq.(6+x), then y is barely effective. The critical root is efficient., and x is larger than -6 by using reduce of the novel. The inverse must have purely inverse factors. So x won't be able to be adverse interior the inverse.

Answer 5

ok, so if you are going to graph that, you need all of the possible x values. Since you cant take the square root of a negative number, the domain would be x < or = 6 (I think).

Answer 6

Domain is x = (-infinity, 6), (6, infinity)

6) infers to all numbers not including 6.

Answer 7

domain is x= minus infinity to plus 6