Function Intersection Point

Find the largest $ x $-value at which the graphs of $ f(x)=e^{3x^2-|\lfloor x \rfloor|!}+\binom{22+735235|\lfloor x \rfloor |}{2356}+\phi(|\lfloor x \rfloor|+1)+72x^4+3x^3-6x^2+2x+1 $ and $ g(x)=e^{3x^2-|\lfloor x \rfloor|!}+\binom{22+735235|\lfloor x \rfloor |}{2356}+\phi(|\lfloor x \rfloor|+1)+72x^4+4x^3-11x^2-6x+13 $ intersect, where $ \lfloor x \rfloor $ denotes the floor function of $ x $, and $ \phi(n) $ denotes the sum of the positive integers $ \le $ and relatively prime to $ n $.

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  • $\infty$