Start Free Mock LoginAlready registered? Login here

Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityContinuity- MiscellaneousEasy2 minQB

MathematicsEasysingle choice

Let $f (u) = 1/ ln (u - 1)$ and $u = (x + e) / (x + 1)$ . How many $x$ in the domain make the composite $f (u (x))$ discontinuous?

Options:

Answer:

Solution:

A function is continuous at every point of its domain, and the composition is continuous wherever both component functions are defined. Thus the number is 0.

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Continuity- Miscellaneous

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...