Not double, but triple repeated functions...

Algebra Level 3

If f(x)=5x2f(x) = 5x - 2, then find the value of xx which satisfies f3(x)=20xf^3(x) = -20 - x. If xx can be expressed as an irreducible fraction ab\frac{a}{b}, find a+ba+b assuming a,b>0a, b>0.

Note: f3(x)=f(f(f(x)))f^3(x) = f(f(f(x))), NOT (f(x))3(f(x))^3.

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