Question

write domain and range of √ 49 -x^2​

Answer 1

$\sqrt{49 - {x}^{2} } \\ 49 - {x}^{2} \geqslant 0 \\ {x}^{2} - 49 \leqslant 0 \\ (x + 7)(x - 7) \leqslant 0 \\ domain = [ - 7 \: , 7]$