The value of f(-2) is 2.00.
To evaluate the function (f(x) = e^{4x+5} + 2) when (x = -2), we can simply substitute (-2) for (x) in the function and calculate the value.
f(x) = e^(4x + 2) + 2
At x = -2
f(-2) = e^(4(-2) + 2) + 2
f(-2) = e^(-8 + 2) + 2
f(-2) = e^(-6) + 2
Using a calculator
f(-2) = 0.002478752176666 + 2
f(-2) = 2.002478752176666
Rounded to 2 decimal point we get,
f(-2) ≈ 2.00