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  • https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/A_Spiral_Workbook_for_Discrete_Mathematics_(Kwong)/06%3A_Functions/6.07%3A_Composite_Functions
    Given functions f:AB and g:BC, the composite function, gf, which is pronounced as “g circle f”, is defined as \[{g\circ f}:{A}\to{C}, \qquad (g\circ f)(x) = g...Given functions f:AB and g:BC, the composite function, gf, which is pronounced as “g circle f”, is defined as gf:AC,(gf)(x)=g(f(x)). The image is obtained in two steps. The functions f:RR and g:RR are defined by f(x)=3x+2,andg(x)={x2 if x52x1 if x>5 Determine fg.

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