Question

Let f(x)= 8/1+3e^-0.7x

What is the value of f(-1)
Round answer to the nearest hundredth.

Answer 1

5.17

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:

`f(x) = \ frac {8} {1 + 3 e ^ {-0.7x} }`

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

`f(x) = \frac {8} {1 + 3e^ { -0.7 (-1) } }`

`f(x)=(8)/(1+0.548)`

`f(x)=(8)/(1.548)`

`f(x)=5.167`

Rounding it to the nearest hundredth we get 5.17.

Answer 2

f (-1) = 1.14

Explanation:

We have the function
`f(x) = (8)/(1+ 3e ^(-0.7x))`

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

Then we have left:

`f(-1) = (8)/(1+ 3e ^(-0.7(-1)))`

solving the power we have...

`f(-1) = (8)/(1+6.041)`

Now solve the function
`f(-1) = (8)/(1+6.041)` and finally we have to:

f (-1) = 1.14