Question

Find the domain of definition of the following function:
$y=\sqrt{x^2+4x-5}.\log (x+1)$

Answer 1

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

$\log (x+1)x+1>0x>-1$

Taking intersection

$x\in [1,\infty )$