If f: R → R is defined by f(x) = x 2 , write f 1 (25).

Q6 of 215 Page 3

If f: R→ R is defined by f(x) = x², write f^–1(25).

Formula:-

(i)A function f: X → Y is defined to be invertible, if there exists a function g : Y → X

such that gof =I_x and fog = I_y. The function g is called the inverse of f and is denoted by f^-1

f(x)=y

f^-1(y)=x

x²=25

x=-5,5

f^-1(25) ={-5,5}

If A = {a, b, c} and B = {–2, –1, 0, 1, 2}, write total number of one-one functions from A to B.

Write total number of one-one functions from set A = {1, 2, 3, 4} to set B = {a, b c}.

If f : C → C is defined by f(x) = x², write f^–1(–4). Here, C denotes the set of all complex numbers.

If f: R → R is given by f(x) = x³, write f^–1(1).