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Domain and range of relations

Which interval notation represents the set of all number greater than or equal to −12-12 and less than −8-8 ?\newline[−12,−8) [-12,-8) \newline[−12,−8] [-12,-8] \newline(−12,−8] (-12,-8] \newline(−12,−8) (-12,-8)
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Let g(x)=xln⁡(x−2) g(x)=\frac{x}{\ln (x-2)} .\newlineSelect the correct description of the one-sided limits of g g at x=3 x=3 .\newlineChoose 11 answer:\newline(A) lim⁡x→3+g(x)=+∞ \lim _{x \rightarrow 3^{+}} g(x)=+\infty and lim⁡x→3−g(x)=+∞ \lim _{x \rightarrow 3^{-}} g(x)=+\infty \newline(B) lim⁡x→3+g(x)=+∞ \lim _{x \rightarrow 3^{+}} g(x)=+\infty and lim⁡x→3−g(x)=−∞ \lim _{x \rightarrow 3^{-}} g(x)=-\infty \newline(C) lim⁡x→3+g(x)=−∞ \lim _{x \rightarrow 3^{+}} g(x)=-\infty and lim⁡x→3−g(x)=+∞ \lim _{x \rightarrow 3^{-}} g(x)=+\infty \newline(D) lim⁡x→3+g(x)=−∞ \lim _{x \rightarrow 3^{+}} g(x)=-\infty and lim⁡x→3−g(x)=−∞ \lim _{x \rightarrow 3^{-}} g(x)=-\infty
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Let h(x)=−5x h(x)=-\frac{5}{x} .\newlineSelect the correct description of the one-sided limits of h h at x=0 x=0 .\newlineChoose 11 answer:\newline(A) lim⁡x→0+h(x)=+∞ \lim _{x \rightarrow 0^{+}} h(x)=+\infty and lim⁡x→0−h(x)=+∞ \lim _{x \rightarrow 0^{-}} h(x)=+\infty \newline(B) lim⁡x→0+h(x)=+∞ \lim _{x \rightarrow 0^{+}} h(x)=+\infty and lim⁡x→0−h(x)=−∞ \lim _{x \rightarrow 0^{-}} h(x)=-\infty \newline(C) lim⁡x→0+h(x)=−∞ \lim _{x \rightarrow 0^{+}} h(x)=-\infty and lim⁡x→0−h(x)=+∞ \lim _{x \rightarrow 0^{-}} h(x)=+\infty \newline(D) lim⁡x→0+h(x)=−∞ \lim _{x \rightarrow 0^{+}} h(x)=-\infty and lim⁡x→0−h(x)=−∞ \lim _{x \rightarrow 0^{-}} h(x)=-\infty
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Which of the following expressions is equivalent to 72−24z−8 \frac{72}{-24 z-8} ?\newlineChoose 11 answer:\newline(A) 93z+1 \frac{9}{3 z+1} \newline(B) 9−3z−1 \frac{9}{-3 z-1} \newline(C) 9−3z+1 \frac{9}{-3 z+1} \newline(D) 9−3z−8 \frac{9}{-3 z-8}
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