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NDA 2010
Exam
NDA
Year
2010
Subject
Mathematics
Chapter
Functions

NDA 2010 · Mathematics · Functions

f(x)=(2)/(3) x+(3)/(2), x ∈ ℝ then what is f^ -1 (x) equal to?

f(x)=23x+32,x∈Rf(x)=\frac{2}{3} x+\frac{3}{2}, x \in \mathbb{R} then what is f−1(x)f^{-1}(x) equal to?

Options

  1. A32x+23\frac{3}{2} x+\frac{2}{3}
  2. B32x−94\frac{3}{2} x-\frac{9}{4}
  3. C23x−49\frac{2}{3} x-\frac{4}{9}
  4. D23x−23\frac{2}{3} x-\frac{2}{3}

Correct answer

B. 32x−94\frac{3}{2} x-\frac{9}{4}

Step-by-step solution

The correct answer is option (B).
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