Question

The function $f\left(x\right)=e^x.logx$ is discontinuous at in the domain.

• A. one point
• B. two points
• C. no point
• D. every point

Answer 1

The correct option is C no point

The domain of $e^x$ is $R$ and the domain of $logx$ is $R^{+}$. Hence, the domain of $e^x.logx$ is $R^{+}$
Since $e^x$ and $logx$ are continuous functions in their domains, their product is also a continuous function. Hence, $f\left(x\right)=e^x.logx$ is discontinuous at no point in its domain.