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  • 28-03-2024
  • Mathematics
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f(x)=(x-2)(x-3) g(x)=-2x-7 find (f/g)(-6)

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JohnPositivity
JohnPositivity JohnPositivity
  • 28-03-2024
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.
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