[["$\\displaystyle \\left(-\\frac{6}{5}+\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{2}$", "$\\displaystyle \\left(-\\frac{6}{5}+\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{2} = \\left(-\\frac{9}{20}\\right)^{-1} \\cdot \\frac{3}{2} = -\\frac{20}{9} \\cdot \\frac{3}{2} = -\\frac{10}{3}$"], ["$\\displaystyle \\left(\\frac{5}{2}-\\frac{5}{8}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{5}{2}-\\frac{5}{8}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{15}{8}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{8}{15} \\cdot \\frac{3}{4} = \\frac{2}{5}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{4}{3}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{4}{3} = \\left(\\frac{5}{6}\\right)^{-1} \\cdot \\frac{4}{3} = \\frac{6}{5} \\cdot \\frac{4}{3} = \\frac{8}{5}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{2}{3}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{5}{6}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{6}{5} \\cdot \\frac{3}{4} = \\frac{9}{10}$"], ["$\\displaystyle \\left(\\frac{3}{2}-\\frac{3}{7}\\right)^{-1} \\cdot \\frac{3}{7}$", "$\\displaystyle \\left(\\frac{3}{2}-\\frac{3}{7}\\right)^{-1} \\cdot \\frac{3}{7} = \\left(\\frac{15}{14}\\right)^{-1} \\cdot \\frac{3}{7} = \\frac{14}{15} \\cdot \\frac{3}{7} = \\frac{2}{5}$"], ["$\\displaystyle \\left(\\frac{6}{5}-\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(\\frac{6}{5}-\\frac{3}{4}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{9}{20}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{20}{9} \\cdot \\frac{3}{4} = \\frac{5}{3}$"], ["$\\displaystyle \\left(-\\frac{3}{4}+\\frac{4}{3}\\right)^{-1} \\cdot \\frac{2}{3}$", "$\\displaystyle \\left(-\\frac{3}{4}+\\frac{4}{3}\\right)^{-1} \\cdot \\frac{2}{3} = \\left(\\frac{7}{12}\\right)^{-1} \\cdot \\frac{2}{3} = \\frac{12}{7} \\cdot \\frac{2}{3} = \\frac{8}{7}$"], ["$\\displaystyle \\left(-\\frac{3}{5}+\\frac{3}{2}\\right)^{-1} \\cdot \\frac{3}{4}$", "$\\displaystyle \\left(-\\frac{3}{5}+\\frac{3}{2}\\right)^{-1} \\cdot \\frac{3}{4} = \\left(\\frac{9}{10}\\right)^{-1} \\cdot \\frac{3}{4} = \\frac{10}{9} \\cdot \\frac{3}{4} = \\frac{5}{6}$"], ["$\\displaystyle \\left(\\frac{3}{7}-\\frac{3}{2}\\right)^{-1} \\cdot \\frac{5}{4}$", "$\\displaystyle \\left(\\frac{3}{7}-\\frac{3}{2}\\right)^{-1} \\cdot \\frac{5}{4} = \\left(-\\frac{15}{14}\\right)^{-1} \\cdot \\frac{5}{4} = -\\frac{14}{15} \\cdot \\frac{5}{4} = -\\frac{7}{6}$"], ["$\\displaystyle \\left(-\\frac{5}{8}+\\frac{5}{2}\\right)^{-1} \\cdot \\frac{5}{3}$", "$\\displaystyle \\left(-\\frac{5}{8}+\\frac{5}{2}\\right)^{-1} \\cdot \\frac{5}{3} = \\left(\\frac{15}{8}\\right)^{-1} \\cdot \\frac{5}{3} = \\frac{8}{15} \\cdot \\frac{5}{3} = \\frac{8}{9}$"]], | |
[["$f(x)=(x-2)^2$", "$f(x)=(x-2)^2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen10' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen10\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-4,4]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"(x-2)^2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=x^2-2$", "$f(x)=x^2-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen11' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen11\",\"width\":300,\"height\":200,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-3,3]},\"yAxis\":{\"domain\":[-2,2]},\"data\":[{\"fn\":\"x^2-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x-2}$", "$f(x)=\\sqrt{x-2}$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen12' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen12\",\"width\":264,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-2,6]},\"yAxis\":{\"domain\":[-1,5]},\"data\":[{\"fn\":\"sqrt(x-2)\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=\\sqrt{x}-2$", "$f(x)=\\sqrt{x}-2$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen13' data='{\"title\":\"\",\"target\":\"#autofunc_funktionsgraphenzeichnen13\",\"width\":231,\"height\":198,\"disableZoom\":true,\"skipTip\":true,\"grid\":true,\"xAxis\":{\"domain\":[-1,6]},\"yAxis\":{\"domain\":[-2,4]},\"data\":[{\"fn\":\"sqrt(x)-2\",\"stroke-width\":\"2px\"}]}'></span>"], ["$f(x)=|x-2|$", "$f(x)=|x-2|$<span class='autofunc' id='autofunc_funktionsgraphenzeichnen14' data='{\"title\":\"\",\"target\":\"# |