Find left-parenthesis f plus g right-parenthesis left-parenthesis x right-parenthesis when lower f left-parenthesis x right-parenthesis equals x cubed minus 2 x squared plus 1 and lower g left-parenthesis x right-parenthesis equals 4 x cubed minus 5 x plus 7.

left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 5 x cubed minus 7 x plus 8
Image with alt text: left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 5 x cubed minus 7 x plus 8

left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 5 x cubed minus 7 x squared plus 8
Image with alt text: left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 5 x cubed minus 7 x squared plus 8

left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 4 x superscript 6 baseline minus 2 x squared minus 5 x plus 8
Image with alt text: left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 4 x superscript 6 baseline minus 2 x squared minus 5 x plus 8

left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 5 x cubed minus 2 x squared minus 5 x plus 8

Image with alt text: left-parenthesis lower f plus lower g right-parenthesis left-parenthesis x right-parenthesis equals 5 x cubed minus 2 x squared minus 5 x plus 8