Question #7fcf8

1 Answer
Oct 24, 2017

(,)

Explanation:

There's no constrain to the domain of the question. So, x can be any real number. Domain=(,)

Here is some case that there are constrains:
1.
squareroot : x2+5x+6
As the things inside squareroot cannot be -ve, x2+5x+6 have to be greater than or equal to 0.

x2+5x+60
(x+5)(x+1)0
x5orx1

The domain=(,5]U[1,)

2.
ln / log: ln(x2+5x+6)
As the things inside ln can only be +ve, x2+5x+6 have to be greater than 0.

x2+5x+6>0
(x+5)(x+1)>0
x<5orx1

The domain=(,5)U(1,)

3.
fraction: x2+5x+6x2
As the denominator of the fraction cannot equal to 0,
x20
x2

The domain=(,2)U(2,)