To solve for \( f \), given the equation \( f^2 = 49 \), we can take the square root of both sides.
Taking the square root gives us:
\[ f = \sqrt{49} \quad \text{or} \quad f = -\sqrt{49} \]
Since \( \sqrt{49} = 7 \), we have:
\[ f = 7 \quad \text{or} \quad f = -7 \]
Therefore, the solutions for \( f \) are:
\[ f = 7 \quad \text{or} \quad f = -7 \]