Answer:
First, fourth.
Step-by-step explanation:
The g(x) function is basically [tex]g(x) = (x^{2} + 2) + 5[/tex].
All we have to do is substitute. I'll just do that, I hope you'll get it from the visuals.
First option:
[tex]g(x)= ((-2)^{2} + 2) + 5\\g(x) = (4 + 2) +5\\g(x) = 6 +5\\g(x) = 11[/tex]This works.
Second option:
[tex]g(x) = (4^{2} + 2) + 5\\g(x) = (16 + 2) + 5\\g(x) = 18 + 5\\g(x) = 23[/tex]This does not work
Third option:
[tex]g(x) = (0^{2} + 2) + 5\\g(x) = (0 + 2) + 5\\g(x) = 2 + 5\\g(x) = 7[/tex]This also does not work.
Fourth option:
[tex]g(x) = (1^{2} + 2) + 5\\g(x) = (1 + 2) + 5\\g(x) = 3 + 5\\g(x) = 8[/tex]This works.
Fifth option:
[tex]g(x) = (7^{2} + 2) + 5\\g(x) = (49 + 2) + 5\\g(x) = 51 + 5\\g(x) = 56[/tex]This does not work.
