Question: Review for Mid-Unit 1 Test: Composite and Inverse Functions 1-4, use the following functions: f(x) =2x2 -3x +10 g(x) = 5x -7 h(x) = x2+12


Review for Mid-Unit 1 Test: Composite and Inverse Functions 1-4, use the following functions: f(x) =2x2 -3x +10 g(x) = 5x -7 h(x) = x2+12 1) (fog ) (-1) 2) (go h) (3) 3 ) (hog ) ( 4 ) 4) h(g(x)) For #5-8, use the following graphs: f ( x ) 10 -10 h(x) 5 ) f (h (1) ) = 7) f ( f ( -2) ) = 6) h(f (4) ) = 8 ) h (h ( -1) ) =For #9-12, use the table and graph below: g (x) N f(x) 9) f(9(-1)) = 10) g (f(2) ) = O N O 11) g(9(1)) = m 12) f(g(0)) = For the functions below, Is the function invertible? Explain. And, if the function is not invertible, determine the domain restrictions needed for the function to be invertible 13) h(x ) = (x+5)2 -4 14) f (x ) = -2x2 +8 15) f (x ) = 3(x -6)2+9 left down Domain * > - 5 [-5, 100 ) For the same functions below, find the equation of the inverse: 16) h(x ) = (*+5)2 -4 17) f (x) = -2x2+8 18) f(x) = 3(x -6)2+9 * = (4+5) 2.4 VX + 4 1 / 4 +5) 2 V X +4= 4+5 V ( x ) = V x/4- 5
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