Answer: w = 7 - √g
Explanation
To make g the subject of the formula w = 7 - √g, we can follow these steps:
1. Start with the equation: w = 7 - √g.
2. Subtract 7 from both sides of the equation: w - 7 = -√g.
3. Multiply both sides of the equation by -1 to isolate the square root: -1(w - 7) = √g.
4. Simplify the left side of the equation: -w + 7 = √g.
5. Square both sides of the equation to eliminate the square root: (-w + 7)^2 = (√g)^2.
6. Expand and simplify the left side of the equation: w^2 - 14w + 49 = g.
Therefore, the formula g = w^2 - 14w + 49 makes g the subject of the original formula w = 7 - √g.