Advertisements
Advertisements
प्रश्न
Given f(x) = `1/(x - 1)`. Find the points of discontinuity of the composite function y = f[f(x)]
योग
Advertisements
उत्तर
We know that f(x) = `1/(x - 1)` is discontinuous at x = 1
Now, for x ≠ 1,
f(f(x)) = `"f"(1/(x - 1))`
= `1/(1/(x - 1) - 1)`
= `(x - 1)/(2 - x)`.
Which is discontinuous at x = 2.
Hence, the points of discontinuity are x = 1 and x = 2.
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
