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

Q13 of 215 Page 3

If f :R→R is defined by f(x) = x², 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

but x should be Real number

Let f : R → R be defined by f(x) = x⁴, write f^–1(1).

If f : C → C is defined by f(x) = x⁴, f^–1(1).

If f : C → C is defined by f(x) = (x – 2)³, write f^–1(–1).

If f :R→R is defined by f(x) = 10x –7, then write f^–1(x).