Final answer:
To solve for f in the equation h = f² + 2g, subtract 2g from both sides and then take the square root, resulting in f = ±√(h - 2g).
Step-by-step explanation:
The problem is asking us to solve for f in the equation h = f² + 2g. To isolate f, we must first move 2g to the other side of the equation by subtracting 2g from both sides, which gives us h - 2g = f². Next, to solve for f, we take the square root of both sides. However, since both positive and negative square roots are valid, we include a ± symbol to signify both possibilities. Thus, the solution for is f = ±√(h - 2g), which corresponds to option C.