The domain of the function begin mathsize 12px style square root of x squared minus 5 x plus 6 end root space plus space square root of 2 x plus 8 minus x squared end root space i s
i. open square brackets 2 comma 3 close square brackets space space space i i. open square brackets negative 2 comma 4 close square brackets space space space i i i. open square brackets negative 2 comma 2 close square brackets union open square brackets 3 comma 4 close square brackets space space space i v. open square brackets negative 2 comma 1 close square brackets union open square brackets 2 comma 4 close square brackets end style

Asked by sunil2791 | 3rd Jun, 2017, 06:02: PM

Expert Answer:

begin mathsize 16px style square root of straight x squared minus 5 straight x plus 6 end root plus square root of 2 straight x plus 8 minus straight x squared end root
rightwards double arrow square root of open parentheses straight x minus 3 close parentheses open parentheses straight x minus 2 close parentheses end root plus square root of open parentheses 4 minus straight x close parentheses open parentheses straight x plus 2 close parentheses end root
Remember space while space finding space the space domain space of space the space square space root space function space that
it space should space not space be space negative space value space in space the space square space root.
It space should space be space greater space than space or space equal space to space 0 space always.
If space we space put space option space left parenthesis straight i right parenthesis comma space left parenthesis iii right parenthesis comma space left parenthesis iv right parenthesis space then space we space will space get space negative space value space in space the space root.
Hence comma space answer space is space left parenthesis ii right parenthesis. end style

Answered by Sneha shidid | 5th Jun, 2017, 01:36: PM