We are given the function \(g(x) = 4x + 3\). To find \(g(g(0))\), we first need to evaluate \(g(0)\).
Substitute \(x = 0\) into the function:
\(g(0) = 4(0) + 3\)
\(g(0) = 0 + 3\)
\(g(0) = 3\)
Step 2: Evaluate g(g(0))
Now, we need to find \(g(g(0))\). Since we found that \(g(0) = 3\), we need to evaluate \(g(3)\).
Substitute \(x = 3\) into the function:
\(g(3) = 4(3) + 3\)
\(g(3) = 12 + 3\)
\(g(3) = 15\)
So, \(g(g(0)) = g(3) = 15\).