Question

F(x) = 8/1+3e^-0.7x
What is the value of f(3)
Round the answer to the nearest hundredth

Answer 1

F(3) = 5.85

Explanation:

The given function is
`F(x)=(8)/(1+3e^(-.7x) )`

By the simplification of given function

`F(x)=(8)/(1+3e^(-.7x) )`

`F(x)=(8e^(.7x) )/(e^(.7x)+3 )`

We have to find the value of f(3)

F(3) =
`(8e^(2.1) )/(3+e^(2.1) ) = ((8)(8.17))/(3+8.17)=(65.36)/(11.17)=5.85`

Therefore the answer is 5.85.

Answer 2

f(3) = 5.85

Explanation:

To solve this problem we have the exponential function

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

To find f(3) you must replace x = 3 in the function.

Then we have left:

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

solving the power we have...

`f(3) = (8)/(1 +0.367)`

Now solve the function and finally we have to:

f(3) = 5.85