Let f(x)=x^2-6x+4 and let g(f(x))=2x+3. What is the sum of all possible values of g(8)?
To get g(8), we must force f(x) = 8 to happen.
When f(x) = 8,
\(x^2 - 6x - 4 = 0\\ x = 3 \pm \sqrt{13}\)
Then g(8) is either 2(3 + sqrt(13)) + 3 or 2(3 - sqrt(13)) + 3. Now it is your turn to simplify these expressions.
