Too easy function

Algebra Level pending

Let a power function \(p(x)\) be represented as \(y=x^{n}\) , and a constant function \(c(x)\) be represented as \(y=mx + b\) . Now for certain value of \((n,m,b)\) ; \(p(x)=c(x)\) ,for every \('x'\) in the interval \(-\infty < x < \infty\) .Then find \(n+m+b\)

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