College Algebra

Question

For

f(x)=6x-3 f(x) = 6x−3

and

g(x)=1/6(x+3),find (f◦g)(x) and (g◦f)(x).

Then determine whether (f◦g)(x)=(g◦f)(x).

What is (f◦g)(x)​?

(f◦g)(x) ​= ?  

Answer 1

they are inverses because when you compose them, the result is the identity line y=x

see watch...

6 ( x/6+1/2) -3 = x +3 -3 = x

and

((6x+3)-3)/6 = 6x/6 = x