Final answer:
The expression (f+h)(x) can be simplified to 3x^2 - 9x - 2.
Step-by-step explanation:
To solve the expression (f+h)(x), we need to substitute the given functions f(x) and h(x) into the expression and simplify. First, we substitute f(x) = 2x^2-9x+2 and h(x) = x^2-4:
(f+h)(x) = (2x^2-9x+2) + (x^2-4)
Combining like terms, we get:
(f+h)(x) = 3x^2 - 9x - 2