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f (n) = square root n+ 2

 Oct 19, 2016
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I assume you want to solve for n which is what I will do.

 

If you mean \(f(n)=\sqrt{n+2}\)  I will use this.

 

\(f(n)=\sqrt{n+2}\)

 

\({{f(n)}^{2}}={\sqrt{n+2}}^{2}\)

 

\({{f(n)}^{2}}=n+2\)

 

\({{f(n)}^{2}}-2=n+2-2\)

 

\({{f(n)}^{2}}-2=n+0\)

 

\({{f(n)}^{2}}-2=n\)

 

\(n={{f(n)}^{2}}-2\)

 

If you mean \(f(n)=\sqrt{n}+2\) I will use this

 

\(f(n)=\sqrt{n}+2\)

 

\(f(n)-2=\sqrt{n}+2-2\)

 

\(f(n)-2=\sqrt{n}+0\)

 

\(f(n)-2=\sqrt{n}\)

 

\({(f(n)-2)}^{2}={\sqrt{n}}^{2}\)

 

\({(f(n)-2)}^{2}=n\)

 

\({f(n)}^{2}-4f(n)+4=n\)

 

\(n={f(n)}^{2}-4f(n)+4\)

 Oct 19, 2016

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