\[ f(x)=\sqrt{x-1} \text { and } g(x)=x^{3}+4 \] Step 2 of 2 : Find the formula for $(g \circ f)(x)$ and simplify your answer. Answer 2 Points

Step 1 ：Given the functions \(f(x)=\sqrt{x-1}\) and \(g(x)=x^{3}+4\).

Step 2 ：We need to find the formula for \(g \circ f(x)\), which means we substitute \(f(x)\) into \(g(x)\).

Step 3 ：Substitute \(f(x)\) into \(g(x)\), we replace \(x\) in \(g(x)\) with \(\sqrt{x-1}\) to get \(g \circ f(x) = (\sqrt{x-1})^3 + 4\).

Step 4 ：Simplify the expression to get the final answer.

Step 5 ：The formula for \(g \circ f(x)\) is \(\boxed{(\sqrt{x-1})^3 + 4}\) or \(\boxed{(x - 1)^{3/2} + 4}\).