Respuesta :

ParadoxThinker11

y=2x

switch x and y

x=2y

solve for y

x/2 =y

this is the same as g(x)

Answer:

see explanation

Step-by-step explanation:

If f(x) and g(x) are inverses then

f(g(x)) = g(f(x)) = x

f(g(x)) = f([tex]\frac{x}{2}[/tex]) = 2 × [tex]\frac{x}{2}[/tex] = x

g(f(x)) = g(2x) = [tex]\frac{2x}{2}[/tex] = x

Hence

f(x) and g(x) are inverse functions

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