SOLUTION
The given functions are
[tex]\begin{gathered} f(x)=2x^3+2 \\ g(x)=4x-3 \end{gathered}[/tex]
The question requires the values of
[tex]f(-4),g(-2)[/tex]
To find f(-2), substitute x=-2 into f(x)
It follows
[tex]f(-4)=2(-4)^3+2[/tex]
Solve for f(-4)
[tex]\begin{gathered} f(-4)=2(-64)-2 \\ f(-4)=-126 \end{gathered}[/tex]
Therefore the value of f(-4)=-126.
To get g(-2) substitute x=-2 into g(x)
It follows
[tex]g(-2)=4(-2)-3[/tex]
Solve for g(-2)
[tex]\begin{gathered} g(-2)=-8+3 \\ g(-2)=-5 \end{gathered}[/tex]
Therefore the value of g(-2)=-5.
