Question

Make g the subject of the formula title="w = 7 - \sqrt{g} " alt="w = 7 - \sqrt{g} " align="absmiddle" class="latex-formula">

Answer 1

$\text{The domain:}\\\\g\geq0\\\\7-\sqrt{g}=w\ \ \ |-7\\\\-\sqrt{g}=w-7\ \ \ |\text{change the signs}\\\\\sqrt{g}=-w+7\\\\\sqrt{g}=7-w\ \ \ \ |^2\\\\(\sqrt{g})^2=(7-w)^2\\\\\boxed{g=(7-w)^2}$
$\text{Use:}\\(a-b)^2=a^2-2ab+b^2\\\\(7-w)^2=7^2-2\cdot7\cdot w+w^2=49-14w+w^2\\\\\boxed{Answer:\ g=49-14w+w^2}$

Answer 2

$w=7- \sqrt{g} \ \ \Rightarrow \ \ \sqrt{g} =7-w\ \ \Rightarrow \ \ \boxed{g =(7-w)^2 }$