Continuity and Differentiability — Class 12 Maths Solution

ncert exercise SA NCERT Ex.5.1 ,Q.33,Page 161
Question

Examine that $sin|x|$ is a continuous function.

Step-by-step Solution

Let $f(x) = |x|$ and $g(x) = \sin x.$ Then,
$(gof)(x) = g[f(x)] = g(|x|) = \sin |x|$

Now, f and g being continuous, it follows that their composite function (gof) is continuous.

← All Continuity and Differentiability solutions Practice tests →

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Continuity and Differentiability. Curated by Sachin Sharma. Free for all students.