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Mathematics · 2022

JEE Main · 29 June 2022, Shift 2 · Q30

Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8 x^2-2 x, and g(f(x))=4 x^2+6 x+1, then the value of f(2)+g(2)…

Let $\displaystyle f(x)$ and $\displaystyle g(x)$ be two real polynomials of degree $\displaystyle 2$ and $\displaystyle 1$ respectively. If $\displaystyle f(g(x))=8 x^2-2 x$, and $\displaystyle g(f(x))=4 x^2+6 x+1$, then the value of $\displaystyle f(2)+g(2)$ is \_\_\_\_.
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