Question

Make g the subject of the formula

`w = 7 - √(g)`

Answer 1

`\text{The domain:}\\\\g\geq0\\\\7-√(g)=w\ \ \ |-7\\\\-√(g)=w-7\ \ \ |\text{change the signs}\\\\√(g)=-w+7\\\\√(g)=7-w\ \ \ \ |^2\\\\(√(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- √(g) \ \ \Rightarrow \ \ √(g) =7-w\ \ \Rightarrow \ \ \boxed{g =(7-w)^2 }`