Respuesta :

Answer: 13 your welcome boo lol




Answer:

the value of [tex]f(g(4))[/tex] is, 13

Step-by-step explanation:

Given the function:

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

[tex]g(x) = x^2[/tex]

we have to find the value of [tex]f(g(4))[/tex];

[tex]f(g(x)) = f(x^2)[/tex]

Replace x in place of [tex]x^2[/tex] in the fucntion f(x) we have;

[tex]f(g(x)) =f(x^2) = x^2-3[/tex]

⇒[tex]f(g(x)) = x^2-3[/tex]

Put x = 4 we have;

[tex]f(g(4)) = 4^2-3=16-3 =13[/tex]

Therefore, the value of [tex]f(g(4))[/tex] is, 13