To find (f/g)(-6), we first need to find the functions f(x) and g(x).
Given:
f(x) = (x - 2)(x - 3)
g(x) = -2x - 7
Now, we can find (f/g)(-6) by substituting x = -6 into both f(x) and g(x) and then dividing f(x) by g(x):
f(-6) = (-6 - 2)(-6 - 3) = (-8)(-9) = 72
g(-6) = -2(-6) - 7 = 12 - 7 = 5
Now, we can find (f/g)(-6):
f(-6)/g(-6) = 72/5
Therefore, (f/g)(-6) = 72/5.
