Functions 1 Question 6

6.

The domain of definition of f(x)=log2(x+3)x2+3x+2 is

(2001, 1M)

(a) R/1,2

(b) (2,)

(c) R/1,2,3

(d) (3,)/1,2

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Answer:

Correct Answer: 6. (d)

Solution:

  1. Given, f(x)=log2(x+3)(x2+3x+2)=log2(x+3)(x+1)(x+2)

For numerator, x+3>0

x>3

and for denominator, (x+1)(x+2)0

x1,2

From Eqs. (i) and (ii),

Domain is (3,)/1,2



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