Mathematics

Mathematics

Problem

Consider the function g(x)={2x,x<37−x,x≥3.g(x)= \begin{cases} 2x, & x<3\\ 7-x, & x\ge 3 \end{cases}. Which statement correctly describes the behavior of gg at x=3x=3? a) gg has a removable discontinuity at x=3x=3. b) gg has an infinite discontinuity at x=3x=3. c) gg has a jump discontinuity at x=3x=3. d) gg is continuous at x=3x=3.

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