🛠️ JEE➗ Maths

Let \(f(x)={x}^{5}+2{x}^{3}+3x+1,x\in R\), and \(g(x)\) be a function such that \(g(f(x))=x\) for all \(x\in R\). Then\(…

Q1

Let \(f(x)={x}^{5}+2{x}^{3}+3x+1,x\in R\), and \(g(x)\) be a function such that \(g(f(x))=x\) for all \(x\in R\). Then\(\frac{g(7)}{{g}^{'}(7)}\) is equal to:

[JEE Main 2024, 5 Apr (Shift 1)]

a

14

b

1

c

7

d

42

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