Question 117267

{{{f(x)=-2x^3+4x^2-6x+9}}} Start with the given function.



{{{f(-1)=-2(-1)^3+4(-1)^2-6(-1)+9}}} Plug in {{{x=-1}}}. In other words, replace each x with -1.



{{{f(-1)=-2(-1)+4(-1)^2-6(-1)+9}}} Evaluate {{{(-1)^3}}} to get -1.



{{{f(-1)=-2(-1)+4(1)-6(-1)+9}}} Evaluate {{{(-1)^2}}} to get 1.



{{{f(-1)=+2+4(1)-6(-1)+9}}} Multiply -2 and -1 to get  2



{{{f(-1)=+2+4-6(-1)+9}}} Multiply 4 and 1 to get  4



{{{f(-1)=+2+4+6+9}}} Multiply -6 and -1 to get  6



{{{f(-1)=21}}} Now combine like terms