CAT Practice : Functions

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Domain of a Function

Domain of Function

    Q.15: Find the domain of: + √(x+1)
    1. (-∞,9)
    2. [-1,9)
    3. [-1,9) excluding 0
    4. (-1,9)

 

  • Correct Answer
    Choice D. (-1,9)

Detailed Solution

In the expression,
9-x > 0
=)
Also, 1-log ( 9-x) ≠ 0
=) log (9 – x) ≠ 1
=) 9-x ≠ 10
=) x ≠ -1
And, x + 1 > 0
=) x > -1
Therefore, Answer – (d)
Answer choice (D).


Correct Answer: (-1,9)



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