Respuesta :

Answer:

f (-1) = 1.14

Step-by-step explanation:

We have the function [tex]f(x) = \frac{8}{1+ 3e ^{-0.7x}}[/tex]

To find f(-1) you must substitute x = -1 in the function.

Then we have left:

[tex]f(-1) = \frac{8}{1+ 3e ^{-0.7(-1)}}[/tex]

solving the power we have...

[tex]f(-1) = \frac{8}{1+6.041}[/tex]

Now solve the function [tex]f(-1) = \frac{8}{1+6.041}[/tex] and finally we have to:

f (-1) = 1.14

Answer:

5.17

Step-by-step explanation:

We are given the following function and we are to find its value when x is equal to -1, rounding it to the nearest hundredth:

[tex] f(x) = \ frac {8} {1 + 3 e ^ {-0.7x} } [/tex]

So substituting the given value of x in the given function:

[tex] f(x) = \frac {8} {1 + 3e^ { -0.7 (-1) } } [/tex]

[tex]f(x)=\frac{8}{1+0.548}[/tex]

[tex]f(x)=\frac{8}{1.548}[/tex]

[tex]f(x)=5.167[/tex]

Rounding it to the nearest hundredth we get 5.17.