Determine whether (f  g)(x) = x and whether (g  f)(x) = x.
-$f ( x ) = \frac { 1 } { x } , g ( x ) = x$
A) No, no
B) No, yes
C) Yes, yes
D) Yes, no

Question

Quizplus · Accepted Answer

For (f ue048 g)(x), we substitute g(x) into f, getting $f(g(x)) = f(x) = \frac{1}{x}$, which is not equal to x. For (g ue048 f)(x), we substitute f(x) into g, getting $g(f(x)) = g\left(\frac{1}{x}\right) = \frac{1}{x}$, which is also not equal to x.

Determine Whether (F  G)(x) = X and Whether (G f(x)=1x,g(x)=xf ( x ) = \frac { 1 } { x } , g ( x ) = xf(x)=x1​,g(x)=x

Determine Whether (F  G)(x) = X and Whether (G $f ( x ) = \frac { 1 } { x } , g ( x ) = x$