Jason L. answered • 10/17/16
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Graduate Student Who Loves to Do Math
When you write "f over g" do you mean "f of g" or "f O g"?
If you do then it's asking you for f[g(x)], so you'd plug in g(x) for the x in f(x).
f(g(x)) = 6(x+5)^2 + 37(x+5) + 35
= 6(x^2 + 10x + 25) + (37x + 185) + 35
= 6x^2 + 60x + 160 + 37x + 185 + 35
= 6x^2 + 97x + 380
If you do then it's asking you for f[g(x)], so you'd plug in g(x) for the x in f(x).
f(g(x)) = 6(x+5)^2 + 37(x+5) + 35
= 6(x^2 + 10x + 25) + (37x + 185) + 35
= 6x^2 + 60x + 160 + 37x + 185 + 35
= 6x^2 + 97x + 380
Jason L.
Ok in that case it's just f(x)/g(x)
(6x^2 + 37x + 35) / (x+5)
That would actually be in simplified form.
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10/17/16
Philip P.
10/17/16