When x = 8, the value of the function f(x) is approximately 12.03. To calculate this, we can substitute x = 8 into the equation f(x) = x + 4√(x+4), which gives:
f(8) = 8 + 4√(8+4) = 8 + 4√12 ≈ 12.03
Rounding this to the nearest hundredth gives 12.03.