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MathNet 2013 Question 32

Math Olympiad Vault · MathNet 2013

Question 32

Function $f$ satisfies $f(x) = x^2 + 1$. What is the value of $\frac{f(f(x)+x)}{f(x)}$?

(A) $x^2 + x + 1$

(B) $x^2 + 2x + 2$

(C) $x^2 + 1$

(D) $x^2 + 2x + 1$

(E) $x^2 + x$