Question

if f(x) = 2x + 1 and g(x) = x - 1 ÷ 2 for all real x then find (fog)^ -1 (x) ​

Answer 1

Answer:

Given f(X)=2x+1,g(X)=(x-1)/2

(fog)(X)=f(g(X))

=f(x-1÷2)

=2(x-1÷2)+1

=x-1+1

=x

fog(X)=X

(fog)^-1(X)=X