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The function is given as:
[tex]f(x)=2x^3-3x^2-18x-8[/tex]To find f(-1) substitute x=-1 in the equation to get:
[tex]\begin{gathered} f(-1)=2(-1)^3-3(-1)^2-18(-1)-8 \\ f(-1)=-2-3+18-8 \\ f(-1)=5 \end{gathered}[/tex]Hence the value of f(-1) is 5.