ANSWER
f(5)=52
EXPLANATION
The given function is
[tex]f(x) = 2 {x}^{2} + 2[/tex]
We substitute x=5 to obtain;
[tex]f(5) = 2 {(5)}^{2} + 2[/tex]
We evaluate the exponent to obtain:
[tex]f(5) = 2 (25) + 2[/tex]
We multiply out to get:
[tex]f(5) = 50 + 2[/tex]
We now simplify to get:
[tex]f(5) = 52[/tex]