what is the difference between domain and range of function ? and here is a sample to solve f(x)=(5x+4)/(x2+3x+2) please need ur helpthe two behind...

The domain of a function is the set of all values of x
that makes the function to exist.

The range of the function
is the set of all possible values of the function over the given the domain of
function.

For the given example, the domain of the function
contains all x real values that do not cancel the
denominator.

We'll find out which are the zeroes of
denominator. For this reason, we'll re-write the
denominator:

`x^(2)` + 2x + 1 + x + 1 =
0

We notice that the first 3 terms of the sum form a
perfect square:

`(x+1)^(2)` + (x+1) =
0

(x+1)(x+1+1) = 0

(x+1)(x+2)
= 0

We'll cancel each
factor:

x + 1 = 0 => x =
-1

x + 2 = 0 => x =
-2

The zeroes of denominator are -1 and -2,
therefore the domain of the function comprises all real values, except -2 and
-1.