Respuesta :
ANSWER
[tex]f(g(10)) = 198[/tex]
EXPLANATION
The given functions are;
[tex]f(x) = 10x + 8[/tex]
and
[tex]g(x) = x + 9[/tex]
To find
[tex]f(g(10))[/tex]
we need to find
[tex]f(g(x)) = f(x + 9)[/tex]
[tex]f(g(x)) =10(x + 9) + 8[/tex]
[tex]f(g(x)) =10x + 90 + 8[/tex]
[tex]f(g(x)) =10x + 98[/tex]
[tex]f(g(10)) = 10(10) + 98[/tex]
[tex]f(g(10)) = 100 + 98[/tex]
[tex]f(g(10)) = 198[/tex]
The last option is the correct answer
[tex]f(g(10)) = 198[/tex]
EXPLANATION
The given functions are;
[tex]f(x) = 10x + 8[/tex]
and
[tex]g(x) = x + 9[/tex]
To find
[tex]f(g(10))[/tex]
we need to find
[tex]f(g(x)) = f(x + 9)[/tex]
[tex]f(g(x)) =10(x + 9) + 8[/tex]
[tex]f(g(x)) =10x + 90 + 8[/tex]
[tex]f(g(x)) =10x + 98[/tex]
[tex]f(g(10)) = 10(10) + 98[/tex]
[tex]f(g(10)) = 100 + 98[/tex]
[tex]f(g(10)) = 198[/tex]
The last option is the correct answer