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If f(a) = 2^(a+1), how can you write f(2a)?

 Jun 10, 2022
 #1
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+1

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 (*):

\(f(1000a)=2^{(1000a+1)}\)

 Jun 10, 2022
 #2
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-1

The answers are one of these:

 

(1) 2f(a)

(2) f(a) /2

(3) 2* {f(a)}^2

(4) {f(a)}^2

(5) {f(a)}^2 /2

 

Which one is it?

Guest Jun 10, 2022
 #3
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+2

Continuing where the first answerer left off...

 

\({f(2a)}\ =\ 2^{(2a+1)}\\~\\ \phantom{f(2a)}\ =\ \frac{2}{2}\cdot2^{(2a+1)}\\~\\ \phantom{f(2a)}\ =\ \frac{2\ \cdot\ 2^{(2a+1)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^1\ \cdot\ 2^{(2a+1)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^{(2a+1)+1}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^{(2a+2)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{2^{2(a+1)}}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{(2^{(a+1)})^2}{2}\\~\\ \phantom{f(2a)}\ =\ \frac{(f(a))^2}{2}\)

 Jun 10, 2022
 #4
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thanksssss laugh

Guest Jun 10, 2022

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