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Answer :

Answer:

[tex](\frac{g}{f})(t)=\frac{t^3-4t}{4t-2}[/tex]

Explanation:

Given the the functions;

[tex]\begin{gathered} h(t)=4t-2 \\ g(t)=t^3-4t \end{gathered}[/tex]

We want to find (g/f)(t); by substituting the functions we have;

[tex](\frac{g}{f})(t)=\frac{g(t)}{f(t)}=\frac{t^3-4t}{4t-2}[/tex]

Therefore;

[tex](\frac{g}{f})(t)=\frac{t^3-4t}{4t-2}[/tex]

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