Question

the natural domain of the function y=√49-x^2 is​

Answer 1

Step-by-step explanation:

We have,

$y = \sqrt{49 - {x}^{2} }$

For domain of the goven function,

$49 - {x}^{2} \geqslant 0$

$\implies {x}^{2} - 49 \leqslant 0$

$\implies(x - 7)(x + 7) \leqslant 0$

$\implies - 7 \leqslant x \leqslant 7$