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Suppose the functions F: R→R and G: R→R are defined by these formulas: F(x) = x² + x and G(x) = 3x -4. Determine formulas for these compositions: (F-G)(x) and (GF)(x). (Express answers in the form a x²+bx+c, where coefficients a, b, and c are specific integers.)

Suppose the functions F: R→R and G: R→R are defined by these formulas: F(x) = x² + x and G(x) = 3x -4. Determine formulas for these compositions: (F-G)(x) and (GF)(x). (Express answers in the form a x²+bx+c, where coefficients a, b, and c are specific integers.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Discrete math, composition of functions: please handwritten and correctly 

Suppose the functions F: R→R and G: R→R are defined by these formulas: F(x) = x² + x and G(x) = 3x -4. Determine formulas for these compositions: (F-G)(x) and (G-F)(x). (Express answers in the form ax²+bx+c, where coefficients a, b, and c are specific integers.)
Transcribed Image Text:Suppose the functions F: R→R and G: R→R are defined by these formulas: F(x) = x² + x and G(x) = 3x -4. Determine formulas for these compositions: (F-G)(x) and (G-F)(x). (Express answers in the form ax²+bx+c, where coefficients a, b, and c are specific integers.)
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