Question

Find domain and range of function f(x)=[(x^{2}-3x+2/x^{2}+x-6]

Answer 1

Okay Maybe

\[ f(x) = \frac{x^2 -3x +2}{x^2+x-6}\]
Right ?

Answer 2

yes

Answer 3

Now I will advise Factorization

Answer 4

plz do it and giv answer i am confused

Answer 5

Okay

\[f(x) =\frac{(x-1)(x-2)}{(x+3)(x-2)}\]
Now ...\[x=\neq -3,2\]

Answer 6

So that makes Domain \[x \in{R} - (-3,2)\]

Answer 7

Now to Find Range .....

\[Let\:\:\:\:\:\:\:\f(x) = y\]
\[y = \frac{x-1}{x+3}\]

Answer 8

thx a lot plzz answer my othr 2 questions

Answer 9

\[x = \frac{1+y}{1-y}\]
That makes range
\[y \in R - (1)\]

Answer 10

thx a lot plzz answer my othr 2 questions
o

Answer 11

the domain is okay, the range is okay too, except the experession of x in terms of y, I think as follows:

x=\[x=(3y+1)/(1-y)\]