joesayian1 joesayian1
  • 23-05-2019
  • Mathematics
contestada

Let f(x) =Sqrt 9x and g(x) =x+7 whats the smallest number that's in the domain of f ° g

Respuesta :

carlosego
carlosego carlosego
  • 23-05-2019

For this case we have the following functions:

[tex]f (x) = \sqrt {9x}\\g (x) = (x + 7)[/tex]

We must find [tex](f * g) (x):[/tex]

By definition of composition of functions we have to:

[tex](f * g) (x) = f (x) * g (x)[/tex]

So:

[tex](f * g) (x) = \sqrt {9x} (x + 7)[/tex]

The domain of the function is given by all the values for which the function is defined. The function is defined for all real numbers greater than or equal to 0. That is:

[0, ∞)

Answer:

The zero is the smallest value of the domain

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