El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$3 \tan{\left(4 x - 1 \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{1}{4}$$
Solución numérica$$x_{1} = 76.4336218495525$$
$$x_{2} = -39.8053063332699$$
$$x_{3} = 52.0862787842316$$
$$x_{4} = -75.9336218495525$$
$$x_{5} = 6.53318530717959$$
$$x_{6} = 67.7942420521806$$
$$x_{7} = 48.1592879672443$$
$$x_{8} = 44.2322971502571$$
$$x_{9} = 1.8207963267949$$
$$x_{10} = 22.2411485751286$$
$$x_{11} = -13.8871669411541$$
$$x_{12} = -60.2256585816035$$
$$x_{13} = -93.9977796076938$$
$$x_{14} = -90.0707887907066$$
$$x_{15} = -95.5685759344887$$
$$x_{16} = -29.595130209103$$
$$x_{17} = 18.3141577581413$$
$$x_{18} = -73.5774273593601$$
$$x_{19} = -97.924770424681$$
$$x_{20} = -47.6592879672443$$
$$x_{21} = -69.6504365423729$$
$$x_{22} = -24.0973430653209$$
$$x_{23} = 66.2234457253857$$
$$x_{24} = 98.424770424681$$
$$x_{25} = -68.079640215578$$
$$x_{26} = -43.7322971502571$$
$$x_{27} = 23.8119449019235$$
$$x_{28} = -50.0154824574367$$
$$x_{29} = 85.8583998103219$$
$$x_{30} = 32.4513246992954$$
$$x_{31} = -15.457963267949$$
$$x_{32} = -72.0066310325652$$
$$x_{33} = 30.095130209103$$
$$x_{34} = 88.2145943005142$$
$$x_{35} = 84.287603483527$$
$$x_{36} = 74.0774273593601$$
$$x_{37} = 99.9955667514759$$
$$x_{38} = -31.9513246992954$$
$$x_{39} = -35.8783155162826$$
$$x_{40} = 10.4601761241668$$
$$x_{41} = 4.17699081698724$$
$$x_{42} = -55.5132696012188$$
$$x_{43} = 89.7853906273091$$
$$x_{44} = -3.67699081698724$$
$$x_{45} = -79.8606126665397$$
$$x_{46} = 36.3783155162826$$
$$x_{47} = -11.5309724509617$$
$$x_{48} = 34.0221210260903$$
$$x_{49} = 59.9402604182061$$
$$x_{50} = -91.6415851175014$$
$$x_{51} = 70.1504365423729$$
$$x_{52} = -61.7964549083984$$
$$x_{53} = -83.787603483527$$
$$x_{54} = -53.9424732744239$$
$$x_{55} = 14.3871669411541$$
$$x_{56} = -9.96017612416683$$
$$x_{57} = -38.234510006475$$
$$x_{58} = 0.25$$
$$x_{59} = 80.3606126665397$$
$$x_{60} = -33.5221210260903$$
$$x_{61} = 62.2964549083984$$
$$x_{62} = -6.03318530717959$$
$$x_{63} = -20.1703522483337$$
$$x_{64} = -64.1526493985908$$
$$x_{65} = 45.803093477052$$
$$x_{66} = -7.60398163397448$$
$$x_{67} = -87.7145943005142$$
$$x_{68} = 8.10398163397448$$
$$x_{69} = -46.0884916404494$$
$$x_{70} = 37.9491118430775$$
$$x_{71} = 28.5243338823081$$
$$x_{72} = -21.7411485751286$$
$$x_{73} = 41.8761026600648$$
$$x_{74} = 78.0044181763474$$
$$x_{75} = 56.0132696012188$$
$$x_{76} = 72.5066310325652$$
$$x_{77} = -2.10619449019234$$
$$x_{78} = -25.6681393921158$$
$$x_{79} = -99.4955667514759$$
$$x_{80} = 81.9314089933346$$
$$x_{81} = 15.957963267949$$
$$x_{82} = 50.5154824574367$$
$$x_{83} = 96.0685759344887$$
$$x_{84} = -51.5862787842316$$
$$x_{85} = 54.4424732744239$$
$$x_{86} = 63.8672512351933$$
$$x_{87} = -65.7234457253857$$
$$x_{88} = 40.3053063332699$$
$$x_{89} = -77.5044181763474$$
$$x_{90} = -17.8141577581413$$
$$x_{91} = -42.1615008234622$$
$$x_{92} = 58.3694640914112$$
$$x_{93} = -28.0243338823081$$
$$x_{94} = 12.0309724509617$$
$$x_{95} = -57.8694640914112$$
$$x_{96} = -82.2168071567321$$
$$x_{97} = -86.1437979737193$$
$$x_{98} = 19.8849540849362$$
$$x_{99} = 94.4977796076938$$
$$x_{100} = 26.1681393921158$$
$$x_{101} = 92.1415851175014$$