Question

If f(x) = x/2 - 1, then on the interval [0, pi]

(a) tan [f (x)] and 1/f(x) are both continuous

(b) tan [f (x)] and 1/f(x) are both discontinuous

(c) tan [f (x)] and f^-1(x) are both continuous

(d) tan [f (x)] is continuous but 1/f(x) is not continuous

Answer 1

Correct option (b) tan [f (x)] and 1/f(x) are both discontinuous

Explanation :

So, tan f(x) is not continuous at x = 2

Clearly. 1/f(x) is not continuous at x = 2. So, tan [f(x)] and tan [1/f(x)] are both discontinuous at x = 2.

Comments

great ..