# Find the composition g \circ f, then determine its domain f(x)=x+6

Find the composition $g\circ f$, then determine its domain
$f\left(x\right)=x+6$ and $g\left(x\right)=\sqrt{x-4}$
1) $g\circ f\left(x\right)=\sqrt{x+2}$
domain of $g\left(f\left(x\right)\right)=\left\{x\mid x\ge -2\right\}$
2)
domain of $g\left(f\left(x\right)\right)=\left\{x\mid x\ge 4\right\}$
3) $g\circ f\left(x\right)=\sqrt{x+2}$
domain of $g\left(f\left(x\right)\right)=\left\{x\mid x\ge 4\right\}$
4) $g\circ f\left(x\right)=\sqrt{x-6}+4$
domain of $g\left(f\left(x\right)\right)=\left\{x\mid x\ge -6\right\}$
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Bubich13
$g\circ f=\sqrt{x+2}$
$x\ge -2$
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alkaholikd9
user_27qwe

$g\left(f\left(x\right)\right)=\sqrt{x+6}-4=\sqrt{x+2}$
domain $x+2>0$
$x>-2$
option 1