Question

How do you solve this question I do not get it

Answer 1

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