Question

Find the domain of square root of Root of (x^2-7x+12/2x^2-11x+5)
(Divided)

Answer 1

of what

Answer 2

Root of (x^2-7x+12/2x^2-11x+5)

Answer 3

No no square root of

Answer 4

is the / divided by?

Answer 5

or is it splitting the equations?

Answer 6

I found the roots as x=4 or x=3 and x=5 or x=1/2

Answer 7

No

Answer 8

I edit the question to make it clear

Answer 9

im not too sure sorry

Answer 10

Okey ...

Answer 11

\[\sqrt{\frac{ x^2-7x+12 }{ 2x^2-11x+5}}\]

Answer 12

Is this your function?

Answer 13

your question is of the form , \(\Large \sqrt{\dfrac{N}{D}}\)
N = numerator, D = denominator.
so firstly, we cannot have the values of x for which denominator =0, in the domain,
so find x for which \(\Large D=0\)

Secondly, we cannot have a negative quantity under the square root sign, for domain of reals, so we need,
\(\Large \dfrac{N}{D}\ge0\)

this will be satisfied by 2 conditions,
\(\large N \ge 0 \:and\: D\ge 0 \\ \large or, N \le0 \:and \:D \le 0 \)

use these conditions to find your domain :)

Answer 14

use
where
use this to find domain of function