Questions: Solve the given problem. If f(x)=4(2)^x, find f(4-a).

Solution Steps

To find \( f(4-a) \), we need to substitute \( 4-a \) into the function \( f(x) = 4(2)^x \). This involves replacing \( x \) with \( 4-a \) in the expression and simplifying the result.

To find \( f(4-a) \), we substitute \( x = 4-a \) into the function \( f(x) = 4(2)^x \). This gives us: \[ f(4-a) = 4 \cdot 2^{4-a} \]

Next, we simplify the expression \( 4 \cdot 2^{4-a} \). We can rewrite this as: \[ 4 \cdot 2^{4-a} = 2^2 \cdot 2^{4-a} = 2^{2 + (4-a)} = 2^{6-a} \]

Final Answer