Define the functions

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Define the functions f(x)=x2−4f(x)=\sqrt{x^{2}-4}, g(x)=x2−9g(x)=x^{2}-9 and h(x)=7−xh(x)=\sqrt{7-x}. Let F(x)=f(x)+g(x)h(x).F(x)=\dfrac{f(x)+g(x)}{h(x)}. Which of the following gives the complete domain of FF? (a) (−∞,−2)∪(2,7)(-\infty,-2) \cup (2,7) (b) (−∞,−2]∪[2,∞)(-\infty,-2] \cup [2,\infty) (c) (−∞,−2]∪[2,7)(-\infty,-2] \cup [2,7) (d) (−∞,−2]∪[2,7](-\infty,-2] \cup [2,7]

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