Question

What is the period of f(x)= 2tanx +3 ?

• A. $2\pi$
• B. $\pi$
• C. $\frac{\pi }{2}$
• D. $\pi +3$

Answer 1

The correct option is B

$\pi$

We know, if f(x) has a period T. Then a f(bx) + c will have period as $\frac{T}{b}$. So the period is only affected by the multiple of x.

In the question given, f(x) = 2 tan(x) +3

Multiple of x is 1. Hence period of the given function will be same as the period of tan(x) which is nothing but $\pi$ .