Functions Question 595

Question: Domain of the function $ f(x)=\frac{x^{2}-3x+2}{x^{2}+x-6} $ is

Options:

A) $ {x:x\in R,\ \ x\ne 3} $

B) $ {x:x\in R,\ \ x\ne 2} $

C) $ {x:x\in R} $

D) $ {x:x\in R,\ \ x\ne 2,\ x\ne -3} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ f(x)=\frac{(x-2),(x-1)}{(x-2),(x+3)} $ Hence domain is $ { x:x\in R,x\ne 2,x\ne -3 } $ .