Respuesta :
Answer:
[tex]g(x) = (x-2)^3 +6[/tex]
Step-by-step explanation:
[tex]g(x) = f(x - 2) +4[/tex]
[tex]f(x) = x^3 + 2[/tex]
we need to find out g(x)
To find g(x) we need to find f(x-2) first
[tex]f(x) = x^3 + 2[/tex]
To find x-2, replace x with x-2
[tex]f(x-2) =(x-2)^3 + 2[/tex]
[tex]g(x) = f(x - 2) +4[/tex]
Replace f(x-2)
[tex]g(x) = (x-2)^3 + 2+4[/tex]
[tex]g(x) = (x-2)^3 +6[/tex]
