Determine which two functions are inverses of each other.
-$$f ( x ) = 7 x \quad g ( x ) = \frac { x } { 7 } \quad h ( x ) = \frac { 7 } { x }$$
A) $f ( x )$ and $g ( x )$
B) $f ( x )$ and $h ( x )$
C) $g ( x )$ and $h ( x )$
D) None

Question

Quizplus · Accepted Answer

Functions $f(x) = 7x$ and $g(x) = \frac{x}{7}$ are inverses because applying $g$ after $f$ (or vice versa) returns the original input: $g(f(x)) = g(7x) = \frac{7x}{7} = x$ and $f(g(x)) = f(\frac{x}{7}) = 7(\frac{x}{7}) = x$.

Determine Which Two Functions Are Inverses of Each Other f(x)=7xg(x)=x7h(x)=7xf ( x ) = 7 x \quad g ( x ) = \frac { x } { 7 } \quad h ( x ) = \frac { 7 } { x }f(x)=7xg(x)=7x​h(x)=x7​

Determine Which Two Functions Are Inverses of Each Other $f ( x ) = 7 x \quad g ( x ) = \frac { x } { 7 } \quad h ( x ) = \frac { 7 } { x }$