dance1234 dance1234
  • 06-11-2019
  • Mathematics
contestada

f(x) = 7/
g(x) = x-4
Can you evaluate (gof)(O)? Explain why or why
not.

Respuesta :

carlosego
carlosego carlosego
  • 10-11-2019

For this case we have the following functions:

[tex]f (x) = 7\\g (x) = x-4[/tex]

We must find[tex](g_ {0} f) (x)[/tex]. By definition we have to:

[tex](g_ {0} f) (x) = g (f (x))[/tex]

So:

[tex](g_ {0} f) (x) = (7) -4 = 7-4 = 3[/tex]

Then, regardless of the value of "x", [tex](g_ {0} f) (x) = 3.[/tex]

Answer:

For any value of "x", [tex](g_ {0} f) (x) = 3[/tex]. Thus, [tex](g_ {0} f) (0)[/tex] cannot be evaluated, the result will always be 3.

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