Limits, Continuity & Differentiability
Continuity of Functions
Grade 12
Question:
<p>The number of points of discontinuity of \(g(x) = \frac{1}{x^2 + 1 - f(x)}\) in \(\left[\frac{-15}{2}, \frac{5}{2}\right]\) equals:</p>
<p>(a) 4</p>
<p>(b) 3</p>
<p>(c) 1</p>
<p>(d) 0</p>
Step-by-Step Solution
Key Concept: A rational function is discontinuous where the denominator equals zero. Find where $x^2 + 1 - f(x) = 0$ in the given interval.
<p>Answer: (b)</p>
Correct Answer: B