Question

Find the domain of definition of the following function:
$y=\sqrt{x^2+4x-5}.\log (x+5)$

Answer 1

$x^2+4x-5\ge 0(x+5)(x-1)\ge 0x\in (-\infty ,-5]\cup [1,\infty )$

$\log (x+5)x+5>0x>-5$

Taking intersection of both, we get

$x\in [1,\infty )$