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Homework Statement
Given f(x) = 3/x-7 and g(x) = x^2 + 5x find each funstion below (f/g) (x)
Homework Equations
The Attempt at a Solution
Okay so I think I have most of these steps but I think the only thing I'm missing is the factoring, which i sort of forgot over the summer. take it easy on me i just started school.
a. 3/x-7 / x^2 + 5x
b. = 3/x-7 x 1/x^2 + 5x
c. = 3/x^3 + 5x^2 - 7x^2 - 35x
d. this is where i get confused but ill take a stab at it. so combine like terms on the denominator. x^3 - 2x^2 - 35x and after this i think you factor it...that is if i did it right. And if i did this right I got (1x-7) (1x+5) = 7,-5