Let be defined by f(x) = sinx. If f is a bijection, write set A. A mathematical expression defines the domain and codomain of a function as f maps from the closed interval [-pi/2, pi/2] to A.

Q20 of 215 Page 3

Let be defined by f(x) = sinx. If f is a bijection, write set A.

Formula:-

(i)A function is a bijection if it is one-one as well as onto

(ii)A function is onto function or surjection if

Range (f)=co-domain(f)

Given:-

(i)

(ii)f(x)=sinx

(ii) f is bijection

For f(x)=sinx

Codomain =range

Set A=[-1,1]

If f : R → R, g : R → R are given by f(x) = (x + 1)² and g(x) = x² + 1, then write the value of fog (–3).

Let A = {x ϵR : –4 ≤ x ≤ x ≤ 4 and x ≠ 0} and f : A → R be defined by Write the range of f.

Let f : R → R⁺ be defined by f(x) = a^x, a > 0 and a ≠ 1. Write f^–1(x).

Let f : R – {–1} → R – {1} be given by Write f^–1(x).