Determine the values of x for which f(x) and g(x) are inverse functions.
-$$f ( x ) = ( x - 8 ) ^ { 2 } , g ( x ) = \sqrt { x } + 8$$
A) $x \leq 0$
B) $x \geq 0$
C) $x \geq 8$
D) $x \leq 8$

Question

Quizplus · Accepted Answer

For f(x) and g(x) to be inverse functions, f(g(x)) = x and g(f(x)) = x must hold true. This condition is satisfied when x is in the domain of g(x), which is $x \geq 0$, and the range of f(x), which is $x \geq 8$. Therefore, the correct choice is $x \geq 8$.

Determine the Values of X for Which F(x) and G(x) f(x)=(x−8)2,g(x)=x+8f ( x ) = ( x - 8 ) ^ { 2 } , g ( x ) = \sqrt { x } + 8f(x)=(x−8)2,g(x)=x​+8

Determine the Values of X for Which F(x) and G(x) $f ( x ) = ( x - 8 ) ^ { 2 } , g ( x ) = \sqrt { x } + 8$