Respuesta :

For this case we have a function of the form [tex]y = g (x)[/tex]

Where:

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

We must find the value of the function when x = 3. Then we substitute:

[tex]g (3) = 3 ^ 2 + 2\\g (3) = 9 + 2\\g (3) = 11[/tex]

Thus, the value of the function when [tex]x = 3[/tex] is [tex]y = 11[/tex]

Answer:

[tex]g (3) = 11[/tex]

Option C

Answer: Third Option

[tex]g(3) = 11[/tex]

Step-by-step explanation:

We have the function  [tex]g(x) = x^2 + 2[/tex] and we must find the value of g(3).

To find g (3) we must evaluate the function g(x) for x = 3. That is, we must replace x = 3 in the function

Then

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

[tex]g(3) = (3)^2 + 2[/tex]

[tex]g(3) = 9 + 2[/tex]

[tex]g(3) = 11[/tex]

Finally the correct answer is the third option