ana1165
ana1165 ana1165
  • 24-10-2019
  • Mathematics
contestada

Let f(x) = -6x + 3 and g(x) = 5x + 4. Find fg and state its domain.

Respuesta :

calculista
calculista calculista
  • 25-10-2019

Answer:

[tex]f(g(x))=-30x-21[/tex]

The domain is all real numbers

Step-by-step explanation:

we have

[tex]f(x)=-6x+3[/tex]

[tex]g(x)=5x+4[/tex]

we know that

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

In the function f(x) substitute the variable x by the function g(x)

so

[tex]f(g(x))=-6(5x+4)+3[/tex]

[tex]f(g(x))=-30x-24+3[/tex]

[tex]f(g(x))=-30x-21[/tex]

This is a linear function (equation of a line)

The domain is all real numbers

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