Answer:
x^2 - 5x - 36 (Third answer choice)
Explanation:
Find 3f:
To find 3f, we multiply the entire f(x) function by 3:
3f = 3(x^2 - x - 20)
3f = 3x^2 - 3x - 60
Find 2g:
Similarly, we can find 2g by multiplying the entire g(x) function by 2:
2g = 2(x^2 + x - 12)
2g = 2x^2 + 2x - 24
Find 3f - 2g:
Now we can subtract 2g from 3f by combining like terms:
(3x^2 - 3x - 60) - (2x^2 + 2x - 24)
(3x^2 - 2x^2) + (-3x - 2x) + (-60 - (-24))
x^2 - 5x + (-60 + 24)
x^2 -5x -36
Thus, 3f - 2g = x^2 - 5x - 36