Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If f(g(x)) = 8x² - 2x and g(f(x)) = 4x² + 6x + 1, then the value of f(2) + g(2) is _ _ _ _ _.

Sets, Relations and Functions: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Evening shift · Q36

JEE Main 202229 Jun, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let f(x) and g(x) be two real polynomials of degree 2 and 1 respectively. If

f(g(x)) = 8{x^2} - 2x

and

g(f(x)) = 4{x^2} + 6x + 1

, then the value of

f(2) + g(2)

is _________.

Your answerType your answer. Integers and decimals are accepted.