Step 1 :The given function is \(f(x) = 7^{x}\).
Step 2 :We are asked to reflect this function about the x-axis.
Step 3 :A reflection about the x-axis changes the sign of the function, so the transformed function \(g(x)\) is \(-f(x)\).
Step 4 :Substituting \(f(x)\) into the equation gives \(g(x) = -7^{x}\).
Step 5 :So, the function \(g(x)\) that results from reflecting \(f(x) = 7^{x}\) about the x-axis is \(\boxed{g(x) = -7^{x}}\).