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# 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(|\lfl

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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 $$n$$.

Dec 29, 2018