TRIG & ANALYT GEOM
TRIG & ANALYT GEOM MATH 140
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This 2 page Class Notes was uploaded by Breana Ullrich on Monday October 19, 2015. The Class Notes belongs to MATH 140 at Radford University taught by Staff in Fall. Since its upload, it has received 9 views. For similar materials see /class/224688/math-140-radford-university in Mathematics (M) at Radford University.
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Date Created: 10/19/15
1 Letfbe the function graphed below a Doesfhave an inverse in the domain of 74 4 Ans No The functionfviolates the horizontal line test b If we restrict the domain offto be 722 doesf 1 exist Yes if you restrict the domain to 722then the function passes the horizontal line test ff72 1 el 3 and f2 7 findf 11f1 3 andf 1 7 Ansf11 721 3 71 andf 1 7 2 If x 7Jx72 1 a Doesf lexist Ans Yes Find the inverse Offf1x x71Z 2 x S 1 c Sketch y x and y f 1x together iff 1 exists otherwise sketch y x only N Fquot 539quot If hx 3x 71 Z find two functionsfand g so that h fog Ans gx 3x7 1fx fl lf hx 3x 71 find two functionsfand g so that h fo g Ans gx 3x71and x Supposex J P U39 9 N 9 a Find the function g so thaty gx is a reflection offwith respect to ye axis Ans gx X b Find the inverse function forg g 1x 7x29 2 0 c Graph the functions g and g 1 together lf x x71 done in class a explain whyfhas an inverse function h find the inverse functionf c check ifff1x f1fx x d graphf andf1 together If x m and gx 2x2 7 3 Find a fog1 fg1 0 b gon1 M1 1 6 fg1f1g1 5 Letx x3 a find the function g so thaty gx is a reflection offwith respect to he x7 axis ans gx 7x3 b find the function h so thaty hx is a shifting ofy x left 3 units and down 3 units hx xl 33 7 3 c does h have an inverse If so sketch y hx and y h 1x together h 1x x 3 7 3
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