Respuesta :
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
