🛠️ JEE➗ Maths

If \(g\left(x\right)=3{x}^{2}+2x−3,f\left(0\right)=−3\) and \(4g\left(f\left(x\right)\right)=3{x}^{2}−32x+72\), then \(f…

Q1

If \(g\left(x\right)=3{x}^{2}+2x−3,f\left(0\right)=−3\) and \(4g\left(f\left(x\right)\right)=3{x}^{2}−32x+72\), then \(f\left(g\left(2\right)\right)\) is equal to:

[JEE Main 2026, 28 Jan (Shift 1)]

a

\(\frac{25}{6}\)

b

\(−\frac{7}{2}\)

c

\(\frac{7}{2}\)

d

\(−\frac{25}{6}\)

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