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Mathematics

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let f(x)=3x+5 and g(x) =3x^2 -x-10. find (f/g)(x) and state it’s domain

Let Fx3x5 And Gx 3x2 X10 Find Fgx And State Its Domain class=

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(f/g)(x) = f(x)/f(g)

[tex]\begin{gathered} =\text{ }\frac{3x+5}{3x^2-x-10} \\ =\text{ }\frac{3x+5}{(3x+5)(x-2)} \\ =\frac{1}{(X-2)} \end{gathered}[/tex]

Domain: x cannot equal 2

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