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Functions question

2022 · 29 Jun · Shift 2 · Q43
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  5. /2022 · 29 Jun · Shift 2 · Q43

Functions question

2022 · 29 Jun · Shift 2 · Q43

JEE MainMathematicsFunctionsNumerical+4 / −1
Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x))=8x2−2xf(g(x)) = 8{x^2} - 2xf(g(x))=8x2−2x and g(f(x))=4x2+6x+1g(f(x)) = 4{x^2} + 6x + 1g(f(x))=4x2+6x+1, then the value of f(2)+g(2)f(2) + g(2)f(2)+g(2) is ‾\underline{\hspace{2cm}}​.
Numerical answer
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