If f : R → R defined by f(x) = 3x – 4 is invertible then write f –1 (x).

Question

Philoid · Accepted Answer

Given:- (i) f : R → R

(ii) f(x)=3x-4

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

For f^-1(x)=y

f(y)=x

3y – 4 =x