Inverse Functions Review - Belle Vernon Area School District

1 B c2r0S1]6x FKyuztnaz XS_opfPtZwiaGrLeA u jA`lOlr TraiCgxhftzsA ` J lMkaDdAer bwtiatVh[ rIsnDfCibnEi`tIeJ uA]lXgJehbIrgai by Kuta Software LLCH onors Algebra 2 Inverse Functions ReviewName_____ ID: 1 Date_____ Period____ A q2P0N1d6T sKuuZtdac WSAoufntCwUaprOe^ CLCL^ L CAbltly eruidgkhBt\sD if the given Functions are ) g(x) = -4 + 7x2f(x) = 4x + 2072) f(x) = -2x - 2g(x) = -2x - 23) f(x) = -x - 42h(x) = -2x - 44) f(x) = -2x + 83g(x) = 8 - 3x25) g(x) = x + 4f(x) = x - 46) h(x) = 7x - 5f(x) = x + 577) g(x) = 1 + (x + 2)3f(x) = 3x - 1 - 28) g(x) = 2 + (x - 2)3f(x) = 3x - 1 _ h2W0_1J6O IKvuEtUa` wSdoXfMtLw`afr[eh HLeLpCg.^ ^ pAUlQlQ grwiJgqhwtdsL jrieZsse` w XMvaXdZei aw_iBtohG mIonLfsiPnBiptdeu cAJlmg^eQbErLaN by Kuta Software LLC-2-9) g(x) = -2 + 34x2f(x) = 2(x + 1)310) f(x) = 3x - 1 - 1g(x) = (x + 1)3 + 111) f(x) = 3x - 2h(x) = (x + 2)312) f(x) = (x - 1)3g(x) = 3x + 113) f(x) = 1x + 1 + 1g(x) = 4-x - 1 + 214) f(x) = -4xh(x) = 1x - 3 - 115) g(x) = -3x - 1 - 2f(x) = -3x + 2 + 116) g(x) = -3x - 2f(x) = -3x + 2 T l2n0k1]6V RKQuBtQa_ sSCoWfFtBwNalrOeW G OAjlYlE Srii\gVhVtxsU W kM]aldles dwhiItdhe EImn`fliSnWiCtyeP VArlVgne`bFrAao by Kuta Software LLC-3-17) f(x) = -3x - 2 + 2h(x) = 2x + 1 - 318) g(x) = 2-x - 1 - 2f(x) = -4x + 3 Find the Inverse of each ) f(x) = 4x - 3 - 220) f(x) = 3x - 521) g(x) = 4x + 2 + 122) g(x) = 3x + 1 - 123) f(x) = 4x - 1 - 124)

2 H(x) = 4x + 1 - 125) f(x) = 4x + 1 + 226) f(x) = 3x - 3 B v2W0Z1c6g hKyuztZat uSwo^fDtOwbaZr]e] VLNLKC`.H a OAzldlI ]reiegIhZtIsg PrsewsCeRrrvoe\d[.Y [ AMZaidFeI ww_iUtahj IIxn`fmiwnBiKt^e\ aADligqeSb\rWax by Kuta Software LLC-4-27) f(x) = 4x - 3 + 228) g(x) = -2x5 + 129) g(x) = 2 - 32x30) g(x) = 2x - 2 - 2 Find the Inverse of each function. Then graph the function and its ) f(x) = 52xxy-6-5-4-3-2-1123456-6-5-4-3-2-112345 632) h(x) = -52x - 152xy-6-5-4-3-2-1123456-6-5-4-3-2-112345 6 h _2V0d1m6C sKWuGtZaW YSFohfetQwaaPrmen I pAJlUlX sr\iIgvh\tNsU Drdeys` y WMBaYdqex vwti_tLhF cIFn[fsionHintHeb nAdldgueVbArhaN by Kuta Software LLC-5-33) g(x) = (x + 1)3 + 2xy-6-5-4-3-2-1123456-6-5-4-3-2-11234563 4) f(x) = -2(x - 3)3xy-6-5-4-3-2-1123456-6-5-4-3-2-112345 635) f(x) = (x + 2)3xy-6-5-4-3-2-1123456-6-5-4-3-2-112345 636) g(x) = 2x + 43xy-6-5-4-3-2-1123456-6-5-4-3-2-1123456 F M2T0K1i6t pKvuGtxab tSDoAf]tTw[arr[e[ I hAXl`lk iriiFgNhptwsc R cMnaPdLe[ JwIihtth\ oI_nLfviMnhiBtJe^ eABl[g]efbsrnaC by Kuta Software LLC-6-37) g(x) = 3x + 1 + 1xy-6-5-4-3-2-1123456-6-5-4-3-2-11234563 8) f(x)]]]

3 = 4x - 5xy-6-5-4-3-2-1123456-6-5-4-3-2-11234563 9) f(x) = (x - 2)3xy-6-5-4-3-2-1123456-6-5-4-3-2-112345 640) g(x) = -2x + 43xy-6-5-4-3-2-1123456-6-5-4-3-2-1123456 Z G2H0I1N6y CKDueteaE YSooEfTtHwVaYrUe^ [ x ]AglWlX srZigg\hIt]sd drze` s sMBasd^eW IwAittVhx PIunxfsiKnZiit]eN MAFlsgIerbVrvaY by Kuta Software LLC-7-Answers to Inverse Functions Review (ID: 1)1) No2) No3) Yes4) Yes5) Yes6) Yes7) Yes8) No9) Yes10) Yes11) Yes12) Yes13) No14) No15) Yes16) Yes17) No18) No19) f-1(x) = 4x + 2 + 320) f-1(x) = 13x + 5321) g-1(x) = -4-x + 1 - 222) g-1(x) = (x + 1)3 - 123) f-1(x) = 4x + 1 + 124) h-1(x) = 4x + 1 - 125) f-1(x) = 4x - 2 - 126) f-1(x) = 3x + 327) f-1(x) = 4x - 2 + 328) g-1(x) = 5-x + 1229) g-1(x) = -23x + 4330) g-1(x) = 2x + 2 + 231) xy-6-4-2246-6-4-2246f-1(x) = 25x32) xy-6-4-2246-6-4-2246h-1(x) = -3 - 25x33) xy-6-4-2246-6-4-2246g-1(x) = 3x - 2 - 134) xy-6-4-2246-6-4-2246f-1(x) = 6 - 34x235) xy-6-4-2246-6-4-2246f-1(x) = 3x - 236) xy-6-4-2246-6-4-2246g-1(x)

4 = -4 + 3x2 U b2n0c1w6o XKDu]toaX bSqoUfgt]wBaTr^eX c xAQlRlH yryi^gzhHtwsI ` IMkaVdleg bwjiutdh] jIYn`fbiNnUiNtyeH aArlBgeelburTaz by Kuta Software LLC-8-37) xy-6-4-2246-6-4-2246g-1(x) = (x - 1)3 - 138) xy-6-4-2246-6-4-2246f-1(x) = x + 5439) xy-6-4-2246-6-4-2246f-1(x) = 3x + 240) xy-6-4-2246-6-4-2246g-1(x) = 4 - 3x2