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
