Respuesta :

Answer:

b.) 0

Explanation:

⇒ f(g(-1))

go from right to left while solving such function questions.

⇒ f(-1 + 2)

⇒ f(1)

⇒ (1)² -2(1) + 1

⇒ 0

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 2x + 1[/tex]

[tex]f(x) = {(x - 1)}^{2} [/tex]

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

[tex] \: [/tex]

[tex] = f(g( - 1))[/tex]

[tex] = {(x - 1)}^{2} [/tex]

[tex] = {((x + 2) - 1)}^{2} [/tex]

[tex] = {(( - 1 + 2) - 1)}^{2} [/tex]

[tex] = {(1 - 1)}^{2} [/tex]

[tex] = {0}^{2} [/tex]

[tex] = 0[/tex]

The answer is B.