Final answer:
To find h(a-2) for the function h(x) = 2x² - 2, substitute (a-2) for x to get h(a-2) = 2a² - 8a + 6.
Step-by-step explanation:
To find h(a-2) for the function h defined by h(x) = 2x² - 2, we need to replace every instance of x in the function's formula with (a-2). So we have:
h(a-2) = 2(a-2)² - 2.
To simplify further:
h(a-2) = 2(a² - 4a + 4) - 2
h(a-2) = 2a² - 8a + 8 - 2
h(a-2) = 2a² - 8a + 6.
So, h(a-2) = 2a² - 8a + 6 is the result after substituting (a-2) into the function.