# What is f(2) given f(x)=6/(1+5e^(-3x))?

Oct 18, 2017

$f \left(2\right) = \frac{6}{1 + 5 {e}^{-} 6} \approx 5.9265477839$

#### Explanation:

Given: $f \left(x\right) = \frac{6}{1 + 5 {e}^{- 3 x}}$

To find f(2), one simply substitutes 2 for x everywhere in the function:

$f \left(2\right) = \frac{6}{1 + 5 {e}^{- 3 \left(2\right)}}$

A representation of the exact value is:

$f \left(2\right) = \frac{6}{1 + 5 {e}^{- 6}}$

One can use a calculator to obtain an approximate value:

$f \left(2\right) \approx 5.9265477839$