Answer: [tex]3x - 11[/tex]
Step-by-step explanation:
Given :
[tex]f(x) = 3x - 5[/tex]
[tex]g(x) = x - 2[/tex]
to find [tex]f(x)[/tex] o [tex]g(x)[/tex] , we will first substitute g(x) , that is
[tex]f(x-2)[/tex]
The next thing is to substitute [tex]x-2[/tex] in place of [tex]x[/tex] in the value of f(x) , that is
[tex]f(x)[/tex] o [tex]g(x)[/tex] = [tex]3(x-2) - 5[/tex]
[tex]f(x)[/tex] o [tex]g(x)[/tex] = [tex]3x - 6 - 5[/tex]
[tex]f(x)[/tex] o [tex]g(x)[/tex] = [tex]3x - 11[/tex]
