Question

find range and domain of (x^2 + 2x + 1)/(x^2-8x+12)?

Answer 1

Can you factorize denominator ??

Answer 2

\[x^2 - 8x + 12\neq0\]

Answer 3

Yes..

Firstly factorize it..

Answer 4

(x-6) (x-2)

Answer 5

Yes So what x cannot take here?

Answer 6

so Domain = R-{ 2 ,6}

Answer 7

Yes right..

Answer 8

Then range

Answer 9

For range put f(x) = y


firstly factorize the numerator here..

Answer 10

so.......wat to do?

Answer 11

Call @experimentX here.

Answer 12

I am bad experience when quadratic comes in range..

Answer 13

can you make partial fractions?

Answer 14

wat is partial fractions?

Answer 15

wait ... i'll look for a method.

Answer 16

y = f(x)

y(x^2-8x+12) = x^2 + 2x +1

Answer 17

http://www.wolframalpha.com/input/?i=partial+fractions+%28x^2+%2B+2x+%2B+1%29%2F%28x^2-8x%2B12%29

Answer 18

x^2(y-1) - x(8y + 2) + (12y -1) =0

Answer 19

i got such quad eq

Answer 20

i got 4y^2 + 21 >= 0