Answer:
K
Step-by-step explanation:
You want the value of f(x +h) given f(x) = x² -2.
Function evaluation
Put the function argument where x is and simplify
f(x) = x² -2
f(x +h) = (x +h)² -2
= (x +h)(x +h) -2 = x(x +h) +h(x +h) -2
= x² +xh +hx +h² -2
f(x +h) = x² +2hx +h² -2 . . . . . . matches choice K
__
Additional comment
The expansion is done using the distributive property several times:
a(b +c) = ab +ac
x(x +h) = x·x +x·h = x² +hx . . . . for example
It can be useful to remember the square of a binomial:
(x +a)² = x² +2ax +a²
