Question

f(x) =tanx , then f(1/√3) =?​

Answer 1

Step-by-step explanation:

f:R→R given by f(x)=tanx.

Since f

−1

is inverse of f

⇒ (f∘f

−1

)(1)=1

⇒ f(f

−1

(1))=1

⇒ tan(f

−1

(1))=1

But tan(

4

π

)=1

⇒ tan(f

−1

(1))=tan(

4

π

)

⇒ f

−1

(1)=nπ+

4

π

n∈Z