Answer:
The value of f(3) is 5.85
Explanation:
The given function is
![f(x)=(8)/(1+3e^(-0.7x))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k89ddfg3sazkp09tn9q0fzaaunavktihcx.png)
In order to find the value of f(3), we substitute x = 3 in given function f(x).
![f(3)=(8)/(1+3e^(-0.7\cdot3))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/wfi3di5frbh5bctu621t82gy7oe3qx0qz9.png)
Simplify the exponent of e
![f(3)=(8)/(1+3e^(-2.1))](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bw3mmnopjjarwcl8l70mgnciiu9ktx0osh.png)
Now, find the value of the denominator
![f(3)=(8)/(1.36736928476)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p7mlij5n8fz6prk8cdma7yejjy8loebzff.png)
Finally, simplify the fraction
![f(3)=5.8506506539](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qbnqiommzk9exj7zytovlnjoipbqw555w5.png)
Rounded to the nearest hundredth, we have
![f(3)=5.85](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6jyycljp4k6fgnqhhantl6g1go17nc8ota.png)