Question
et lower f left parenthesis x right parenthesis equals x superscript 2 baseline plus 3 x minus 1 and lower g left parenthesis x right parenthesis equals x superscript 3 baseline plus 4 x superscript 2 baseline plus 1. Find left-parenthesis f minus g right-parenthesis left-parenthesis x right-parenthesis.
(1 point)
Responses
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x
Image with alt text: Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals x cubed minus 3 x squared plus 3 x minus 2
Image with alt text: Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals x cubed minus 3 x squared plus 3 x minus 2
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x minus 2
Image with alt text: Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x minus 2
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed plus 7 x squared plus 3 x minus 2
(1 point)
Responses
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x
Image with alt text: Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals x cubed minus 3 x squared plus 3 x minus 2
Image with alt text: Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals x cubed minus 3 x squared plus 3 x minus 2
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x minus 2
Image with alt text: Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x minus 2
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed plus 7 x squared plus 3 x minus 2
Answers
GPT 3.5
The correct response is:
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x
Left-parenthesis lower f minus lower g right-parenthesis left-parenthesis x right-parenthesis equals negative x cubed minus 3 x squared plus 3 x