SOLUTION: F(x)=4x+7 divided by 7x-4, g(x) 8x divided by 7x-4 and solve for (f-g)(x) Thank you for helping me

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Question 1016012: F(x)=4x+7 divided by 7x-4, g(x) 8x divided by 7x-4 and solve for (f-g)(x)
Thank you for helping me
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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F(x)=4x+7 divided by 7x-4, g(x) = 8x divided by 7x-4 and solve for (f-g)(x)
Thank you for helping me
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f(x) = %284x%2B7%29%2F%287x-4%29, g(x) = %288x%29%2F%287x-4%29.

Now, (f-g)(x) is the difference of these fractions.
You are lucky: the fractions have the same denominator, so calculations are easy:

(f-g)(x) = %284x%2B7%29%2F%287x-4%29 - %288x%29%2F%287x-4%29 =

%28%284x%2B7%29+-+8x%29%2F%287x-4%29 = %284x+-+8x+%2B7%29%2F%287x-4%29 = %28-4x%2B7%29%2F%287x-4%29.