60. continued(b)61. (a)(b)62. (a)(b)63. (a)Since (f +g)(x)5ˇgw(xw)w2w5w5ˇx2w2w5w,g(x)5x2.(b)Since (f +g)(x)511}g(1x)}5x, we know that }g(1x)}5x21, so g(x)5}x211}.(c)Since (f +g)(x)5f1}1x}25x,f(x)5}1x}.(d)Since (f +g)(x)5f(ˇxw)5)x),f(x)5x2.The completed table is shown. Note that the absolutevalue sign in part (d) is optional.64. (a)Note that the data in the table begins at x520. (We donot include the initial investment in the data.) Thepower regression equation is y527.1094x2.651044.(b)[0, 30] by [220,000, 180,000](c)When x530,y <223,374. According to the powerregression equation, the investment will grow toapproximately $223,374.(d)The linear regression equation is y512,577.97x2177,275.52. When x530,y <200,064. According to the linear regressionequation, the investment will grow to approximately$200,064.65. (a)Because the circumference of the original circle was8pand a piece of length xwas removed.(b)r5}8p2p2x}542}2xp}(c)h5ˇ1w6w2wrw2w5!1§6
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