Question

If f(x) = 1/(2 – x), then the points of discontinuity of the composite function y = f(f(f(x))) are

• A. 2, ¾
• B. 1, 2
• C. 2, 3
• D. 2, 3/2

Answer 1

Answer: (D)

2, 3/2

Answer 2

f(x) is discontinuous at x = 2,

f(f(x)) = $\frac{1}{2 - \frac{1}{2 - x}} = \frac{2 - x}{3 - 2x}$ is discontinuous at x = 3/2