WORKSHEET 7



WORKSHEET INVERSE FUNCTIONSNAME: ________________________________________ PER: ___ DATE: ______Inverse RelationsFind the inverse for each relation.1.{ (1, -3), (-2, 3), (5, 1), (6, 4) }2.{ (-5, 7), (-6, -8), (1, -2), (10, 3) }Finding InversesFind an equation for the inverse for each of the following relations.3.y ? 3x ? 26.y ? ?8x ? 169.y ? ? 5 x ? 1084.7.10.y ? ?5x ? 7y ? 2 x ? 53y ? 1 x ? 825.8.11.y ? 12x ? 3y ? ? 3 x ? 5 4y ? x2 ? 512.y ? x2 ? 413.y ? (x ? 3)214.y ? (x ? 6)215.y ?x ? 2,y ? 016.y ?x ? 5,y ? 017.y ?x ? 8, y ? 818.y ?x ? 7,y ? ?7Verifying Inverses: Verify that f and g are inverse functions.19.f(x) ? x ? 6,g(x) ? x ? 620.f(x) ? 5x ? 2,g(x) ? x ? 2521.23.f (x) ? ?3x ? 9,f(x) ? ?4x ? 8,g(x) ? ? 1 x ? 33g(x) ? ? 1 x ? 2422.24.f(x) ? 2x ? 7,f(x) ? 1 x ? 7,2g(x) ? x ? 72g(x) ? 2x ? 14THIS IS HOW YOU VERIFY AN INVERSE FUNCTIONS: TAKE THE COMPOSITION OF THE GIVEN FUNCTIONS. See #19; f[g(x)] = (x – 6) + 6 = x; g[f(x)] = (x + 6) -6 = x; If f[g(x)] = x and g[f(x)] = x, therefore, f(x) and g(x) are inverse functions.Graphing InversesGraph the inverse for each relation below (put your answer on the same graph). 25.26.27.28.CHECK YOUR ANSWER BELOW!!!!ANSWERS – Worksheet Inverse functions1.{ (-3, 1), (3, -2), (1, 5), (4, 6) }2.{ (7, -5), (-8, -6), (-2, 1), (3, 10) }3.y ? x ? 234.y ? ? x ? 755.y ? x ? 3126.y ? 1 x ? 287.y ? 3 x ? 1525.26.228.y ? ? 4 x ? 20339.y ? ? 8 x ? 16510.y ? 2x ? 16x ? 511.y ? ?27.x ? 412.y ? ?x13.y ? ?3 ?x14.y ? 6 ?15.y ? x2 ? 2,16.y ? x2 ? 5,x ? 0x ? 017.y ? (x ? 8)2,18.y ? (x ? 7)2,x ? 8x ? ?728.verifyverifyverifyverifyverifyverify ................
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