For problem #21, if you graph the function and its inverse as a composite function-f(g(x)) or g(f(x)), then if the two functions are indeed inverses of each other, it should create the y=x graph! I think graphing the composition of the two functions more clearly shows that they are inverses!
For problem #21, if you graph the function and its inverse as a composite function-f(g(x)) or g(f(x)), then if the two functions are indeed inverses of each other, it should create the y=x graph! I think graphing the composition of the two functions more clearly shows that they are inverses!
I agree with you that to do it algebraically as you suggest is a cleaner "proof." Thanks again for viewing and commenting!