The domain of the real valued function $f\left( x \right) = \sqrt {5 - 4x - {x^2}} + {x^2}\;{\rm{log}}\left( {x + 4} \right)$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The domain of the real valued function

f\left( x \right) = \sqrt {5 - 4x - {x^2}} + {x^2}\;\mathrm{log}\left( {x + 4} \right)

View answer and explanation

Correct option: C

- 4 < x \le 1

Option C

- 4 < x \le 1

is correct because it satisfies both the square root and logarithmic domain restrictions.

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