The domain of definition of f(x) =`(log_2(x+3))/(x^2+3x+2)`A. `R//{-1, – InterviewSolution

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1.	The domain of definition of f(x) =`(log_2(x+3))/(x^2+3x+2)`A. `R//{-1,-2}`B. `(-2,infty)`C. `R//{-1,-2,-3}`D. `(-3,infty)//{-1,-2}`
Answer» Correct Answer - D Given, `f(x)=(log_(2)(x+3))/((x^(2)+3x+2))=(log_(2)(x+3))/((x+1)(x+2))` For numerator, `x+3 gt 0` `rArr x gt -3 " ...(i) " ` and for denominator, `(x+1)(x+2) ne 0` ` rArr x ne -1, -2 " ...(ii)" ` From Eqs. (i) and (ii) , Domain is `(-3,oo)//{-1,-2}`

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