Question

The absolute function f(x)=pt is shown as a dashed line below. Write an equation for the transformed function depicted by the solid line. -5 5 X (2-3) -5+ 8. For the pair of functions, f(x)= 3x - 3, and g(x)=x2-7, find a) -8) 04) b)-g)(x) c) (g op (3) d) (g) (*) D Focus

Answer 1

Ein of the line (0-7) and (2,-3) is the line passing through the pts Y-(-7) - 3-(-7 2~0 2~0. 7 . Y+7 ge 2 32X = 477 y= 22-7=28-4-3 +3=2(2-2). Eqh of the trous formed the function depicted by the solid line is y+3=2 2/3-2/ Y+ 3 = 212-21 . 4+3 = 2.972 x=3 s 2(2-2) -3 -202-22 ) 22 20-7, 272 -3 8=3 1 - 2%, gek 2 - u ) (1) ya 22-7 y 1-22 Intersection og O and @is (2,-3).

son for the tronstarmed fun" depicted by the solid line is J+3=212-2 x g(%) = x2 from=34-2., (fog)(2) = fear-g(a)= 392-2 (127) 38-22 2+7 = 3:0-2275 (fg) (4)= 3.4 -4245 = e 6 (f-g)x= 32-x215 (gof)(3). (gof)(x) = g Chewed) = 7 (32-2) = (32-23-7 92-12%+4-7

(49cs = 4чая- 3 (30)3) = 9х 9x3*- 12х2 - 3 - 42 . --- 2. C#a) c*) #с 2+) = f(x-3) 3 (x-1) – 2 3-- 2 1 - 2 - 31-23 } } (fea)C%) = 32-23.