Question 1 Given that $f(x)=8 x-7$ and $g(x)=2-x^{2}$, calculate (a) $f(g(0))=$ (b) $g(f(0))=$ Submit

Step 1 ：We are given two functions, \(f(x) = 8x - 7\) and \(g(x) = 2 - x^2\), and we are asked to find the values of \(f(g(0))\) and \(g(f(0))\).

Step 2 ：To find \(f(g(0))\), we first need to find the value of \(g(0)\) and then substitute this value into the function \(f(x)\).

Step 3 ：Similarly, to find \(g(f(0))\), we first need to find the value of \(f(0)\) and then substitute this value into the function \(g(x)\).

Step 4 ：Let's start with finding \(f(g(0))\).

Step 5 ：\(f(g(0)) = 9\)

Step 6 ：Now that we have found the value of \(f(g(0))\), let's find the value of \(g(f(0))\).

Step 7 ：\(g(f(0)) = -47\)

Step 8 ：Final Answer: \(\boxed{f(g(0)) = 9}\) and \(\boxed{g(f(0)) = -47}\)