Question

Let f(x)=18/6+5e^−0.1x.
What is f(6)?

Answer 1

To calculate f(6) for the function f(x) = 18/6 + 5e^{-0.1x}, replace x with 6 and simplify using a calculator to get the final value.

Step-by-step explanation:

The student has asked for the evaluation of the function f(x) = 18/6 + 5e^{-0.1x} at x = 6. To find f(6), we substitute 6 for x in the function:

f(6) = 18/6 + 5e^{-0.1(6)}

= 3 + 5e^{-0.6}

= 3 + 5(\frac{1}{e^{0.6}})

Using a calculator, we can find the value of e^{-0.6} and then multiply it by 5, adding the result to 3 to get the final value of f(6).