Hi Guest!
You simply replace "a" with "2a"
Given: \(f(a)=2^{(a+1)}\) (*)
Then,
\(f(2a)=2^{(2a+1)}\)
For example if you want: \(f(1000a)\), all you do is replace "a" with 2a" in the given (*):
\(f(1000a)=2^{(1000a+1)}\)
Continuing where the first answerer left off...
\({f(2a)}\ =\ 2^{(2a+1)}\\~\\ \phantom{f(2a)}\ =\ \frac{2}{2}\cdot2^{(2a+1)}\\~\\ \phantom{f(2a)}\ =\ \frac{2\ \cdot\ 2^{(2a+1)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^1\ \cdot\ 2^{(2a+1)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^{(2a+1)+1}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^{(2a+2)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^{2(a+1)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{(2^{(a+1)})^2}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{(f(a))^2}{2}\)
