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MathsJEE Main 23 Jan 2026, Shift 1·Q9·MCQ·Moderate

Limits, Continuity & Differentiability · Continuity of piecewise function

Let f(x)={ax2+2ax+34x2+4x−3,x≠−32,12b,x=−32,12f(x) = \begin{cases} \dfrac{ax^2 + 2ax + 3}{4x^2 + 4x - 3}, & x \neq -\dfrac32, \dfrac12\\[2ex] b, & x = -\dfrac32, \dfrac12\end{cases} be continuous at x=−32x = -\dfrac32. If f∘f(x)=75f\circ f(x) = \dfrac75, then xx is equal to:
  1. (1)2
  2. (2)1
  3. (3)0
  4. (4)1.4

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