Answer:
The value of f(3) is 5.85
Step-by-step explanation:
The given function is [tex]f(x)=\frac{8}{1+3e^{-0.7x}}[/tex]
In order to find the value of f(3), we substitute x = 3 in given function f(x).
[tex]f(3)=\frac{8}{1+3e^{-0.7\cdot3}}[/tex]
Simplify the exponent of e
[tex]f(3)=\frac{8}{1+3e^{-2.1}}[/tex]
Now, find the value of the denominator
[tex]f(3)=\frac{8}{1.36736928476}[/tex]
Finally, simplify the fraction
[tex]f(3)=5.8506506539[/tex]
Rounded to the nearest hundredth, we have
[tex]f(3)=5.85[/tex]
