Question

For the function h defined by h(x)=2x²-2, find h(a-2)

Answer 1

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.