Find`f(3)` for

Question

`f\left(x\right)\ =\frac{1}{2}\left(4\right)^{x}\ `

Answer 1

To find \( f(3) \) for the function

\[ f(x) = \frac{1}{2}(4)^x, \]

we substitute \( x = 3 \) into the function:

\[ f(3) = \frac{1}{2}(4)^3. \]

Now calculate \( (4)^3 \):

\[ 4^3 = 4 \times 4 \times 4 = 16 \times 4 = 64. \]

Now substitute this value back into the function:

\[ f(3) = \frac{1}{2} \times 64 = 32. \]

Thus, the value of \( f(3) \) is

\[ \boxed{32}. \]