Find g (a-2) + 3g (2a) if g (x) = x²-5x+8

13a² - 39a + 46

Step-by-step explanation:

To find g (a-2) + 3g (2a), find each part using the function g (x) = x²-5x+8.

g (a-2) = (a-2) ²-5 (a-2) + 8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22

3g (2a) = 3{ (2a) ²-5 (2a) + 8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24

Combine the values to find g (a-2) + 3g (2a).

g (a-2) + 3g (2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46