Question

answer the above question with steps​

Answer 1

Answer:

option2

Step-by-step explanation:

plz check the attachment for answer

Answer 2

Answer:

$= \sqrt{25 - 9{x}^{2} } + \sqrt{ {x}^{2} + x + 1 } \\ \\ 25 - 9{x}^{2} \geqslant 0 \\ 9 {x}^{2} - 25 \leqslant 0 \\ \frac{ - 5}{3} \leqslant x \leqslant \frac{5}{3} .......(1) \\ \\ {x}^{2} + x + 1 \geqslant 0 \\ Its \: discriminant \: is \: always \: less \: than \: \\ zero \: hence \: {x}^{2} + x + 1 > 0 \: for \: all \: of \: x \: \\ \\ hence \: domain \: is \: \frac{ -5}{3} \leqslant x \leqslant \frac{5}{3} \\ \\ hope \: it \: will \: help \: you....$