Find`f(-3)` for

Question

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

Answer 1

To find \( f(-3) \) for the function \( f(x) = 4(2^x) \), we substitute \(-3\) into the function.

\[ f(-3) = 4(2^{-3}) \]

Now, we need to calculate \( 2^{-3} \):

\[ 2^{-3} = \frac{1}{2^3} = \frac{1}{8} \]

Now we substitute this value back into the function:

\[ f(-3) = 4 \left(\frac{1}{8}\right) = \frac{4}{8} = \frac{1}{2} \]

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

\[ \boxed{\frac{1}{2}} \]