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Verified Answer :

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: \(f(x) = 4(\frac{1}{3})^x\)   ......[1]

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

substitute the value of x =3 in [1]

use:  \((\frac{a}{b})^n = \frac{a^n}{b^n}\)

then, we have;

\(f(3) = 4(\frac{1}{3})^3 = \frac{4}{3^3} =\frac{4}{27} = 0.1481481....\)

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