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< Exercises

Evaluate piecewise functions

g(x)={x2−5,x∈(−∞,−7)9x−17,x∈[−7,2](x+1)(x−5),x∈(2,∞)g(x) = \begin{cases} x^2-5& , & x\in (-\infty,-7) \\\\ 9x-17 & , & x \in [-7,2]\\\\ (x+1)(x-5) & , & x \in (2,\infty)\end{cases}
g(7)=g(7)=
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}