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

JEE Main 2022 Mathematics question

Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If and , then the value of f(2) + g(2) is .

Answer: 18

Let + dx + e and g(x) = ax + b. From : , 2abc + ad = −2, + bd + e = 0. From +

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Question ID VK-035255