Rewriting a function f(a,b) -> f(x) where x=b/a

Question:Rewriting a function f(a,b) -> f(x) where x=b/a

Posted: oivind 10 Product: Maple

September 12 2012

Hi!

I have a function of two variables f(a,b)

$f(a,b) =16*b^2/(a+sqrt(a^2+8*b^2))^2$

and I need to rewrite it to a function of a single variable

$f(x) = 16*x^2/(2+2*sqrt(1+8*x^2)+8*x^2)$

where x=b/a. It is easy by hand, just divide by a^2 in both num and denum and rewrite it.

How can I go from f(a,b) to f(x) using Maple commands?

Thanks:)

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