Respuesta :

loganhunter2006

any other details you could give me ?

It is proved that f and g are inverses by showing that f(g(x)) = x and     g(f(x)) = x.

What are inverse function?

An inverse function is a function that returns the original value for which a function has given the output.

How to confirm that f and g are inverses ?

According to the problem,

  • f(x) = x³ + 4
  • g(x) = [tex]\sqrt[3]{x-4}[/tex]

Now,   f(g(x)) =  [tex](\sqrt[3]{x-4})^{3} + 4[/tex] = x

           g(f(x)) = [tex]\sqrt[3]{x^{3}+4 -4}[/tex] = x

Thus it is proved that f and g are inverse functions.

Find more about "Inverse Functions" here: https://brainly.com/question/1144043

#SPJ2

Otras preguntas