Question

If g(x) = Log (5 x²-7
then what's its
Domain and Range​

Answer 1

EXPLANATION :

$\sf \log(5 {x}^{2} - 7)$

$\sf \: for \: it \: to \: be \: a \: relation \: (5 {x}^{2} + 7) > 0$

$\sf \: (5 {x}^{2} + 7) > 0$

$\to \sf \: {x}^{2} > \frac{7}{5}$

$\sf \to \: x > \sqrt{ \frac{7}{5} }$

Hance,

$\sf \: x \in \: ( \sqrt{ \frac{7}{5} } ,\infty )$