(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

f(x)= 1/(5x^{2}+3)

g(x)=1/(x-2)^{1/2}

find (f+g)(x)

3. The attempt at a solution

for (f+g)(x) I use the common denominator by multiplying each side by (x-2)^{1/2}/(x-2)^{1/2}and (5x^{2}+3/5x^{2}+3) respectively.

I end up with a whole mess that I am unable to rearrange into anything useful, the (x-2)^{1/2}completely throws me off my game.

Any ideas?

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# Addition and Multiplication of functions with radicals in the denominator

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