Question

Let f(x)=186+5e−0.1x . What is f(6) ?

Answer 1

Answer:

$f(6)=188.7$ to the nearest tenth

Step-by-step explanation:

The given function is $f(x)=186+5e^{0.1x}$.

We want to find the value of this function at x=6.

We substitute 6 wherever we see x in the given function to obtain:

$f(6)=186+5e^{0.1(6)}$.

We now evaluate using at least a scientific calculator to obtain:

$f(6)=186+5(0.5488116361)$.

$f(6)=186+2.74405818$.

$f(6)=188.74405818$.

$f(6)=188.7$ to the nearest tenth