Given
[tex]f\mleft(x\mright)=15x^2,g(x)=x^3-4x+2[/tex]Find
Value of
[tex]\frac{f(2)}{g(2)}[/tex]Explanation
first we will find the value of f(2) and g(2)
f(2) =
[tex]\begin{gathered} f(2)=15(2)^2 \\ f(2)=15\times4 \\ f(2)=60 \end{gathered}[/tex]now , g(2) =
[tex]\begin{gathered} g(x)=x^3-4x+2 \\ g(2)=(2)^3-4(2)+2 \\ g(2)=8-8+2 \\ g(2)=2 \end{gathered}[/tex]hence
[tex]\begin{gathered} \frac{f(2)}{g(2)}=\frac{60}{2} \\ \\ \frac{f(2)}{g(2)}=30 \end{gathered}[/tex]Final Answer
Therefore , the correct option is C