JEE Mains · Maths · STD 11 - 12. limits
Let \( f(x) = \begin{cases} \frac{ax^{2}+2ax+3}{4x^{2}+4x-3}, & x \neq -\frac{3}{2}, \frac{1}{2} \\ b, & x = -\frac{3}{2}, \frac{1}{2} \end{cases} \) be continuous at \( x=-\frac{3}{2} \). If \( fof(x) = \frac{7}{5} \), then \( x \) is equal to:
- A 2
- B 1
- C 0
- D 1.4
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(f(x)=\left\{\begin{array}{cc}\frac{a^2+2 a x+3}{(2 x-1)(2 x+3)} & ; x \neq \frac{-3}{2}, \frac{1}{2} \\ b & ; x=\frac{-3}{2}, \frac{1}{2}\end{array}\right.\) for continuous at \(x=\frac{-3}{2}\) \(LHL=RHL\)…
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