Respuesta :

4(1/3)^3
4 * 1/3^3
1 * 4 / 3^3
4/3^3
= 4/27

Answer:

The value of f(3) is 0.148(approx)

Step-by-step explanation:

Given the function: [tex]f(x) = 4(\frac{1}{3})^x[/tex]   ......[1]

we have to find the value of f(3).

substitute the value of x =3 in [1]

use:  [tex](\frac{a}{b})^n = \frac{a^n}{b^n}[/tex]

then, we have;

[tex]f(3) = 4(\frac{1}{3})^3 = \frac{4}{3^3} =\frac{4}{27} = 0.1481481....[/tex]

therefore, the value of f(3) is 0.148(approx)