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7) x2 + 1 1x + 18 > 4x + 8 Black 6 75 -2 D: X7 1 Pant x + 7 x +10 >0
7) x2 + 1 1x + 18 > 4x + 8 Black 6 75 -2 D: X7 1 Pant x + 7 x +10 >0 ( x + 5) ( x + 2) (- 0o , # ]U[ 1, 00 ) ( - 00 , - 5 ) U ( - 2 , 00 ) 8. Find the inverse of f(x) = In(x -3) and list the range of inverse. y = In( x - 3 ) * = 14 ( y - 3) (3,00 e = y- 3 y" = ex + 3 yz3 9. Find the inverse of g(x) = 5x+3 and list the domain of inverse. y = Sx+3 X - 2 - 2 x = 5 y + 3-xy 4-2 X = Sy+3 42 . 4 - 2 - 2 x = y (5 - x ) + 3 x ( y - 2 ) = 54+ 3 - 2 x - 3 = 4 (s - / ) * 8- 2x = Sy +3- xy 5 - X 5/ x 412- 2x - 3 D: X$ 5 10. Given: f(x) = 2x - 5, s(x) = $42, h(x) = x2 -3, g(x) = log3(x) +1 a) Evaluate h(s(2)) b) f (h (x) ) and simplify 2+ 2 2- 6 2 = - 1 * 2 - 3 41-1 ) = (15 - 3 2 ( x 2 3 ) - 5 h ( - 1 ) = - 2 2 x - 6- 5 c) Find g (4) 2 x 2 - 11
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