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Review for Chap6&amp;12KEY

# Review for Chap6&amp;12KEY - MDC:MAC1105...

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MDC:  MAC1105 REVIEW FOR CHAPTER 6/12 TEST 1. Find (f  °  g)(x) if f(x) = 1 – 3x + 4x 2 ,  g(x) = x x + 5  and find its domain. x x x f x x x x x x x x x x x x x x x x x + + + + + + ÷ ÷ ÷ = - + = - + ÷ - - + + + + + = ÷ = 2 2 2 2 2 2 2 2 2 5 5 3 15 10 25 1 3 4 1 4 3 15 4 40 100 2 5 100 5 2 D (f)  = (-∞, ∞) D (g)  = {x|x  ≠ 0} D(f  °  g) =    {x|x  ≠ 0} 2. Find  ( 29 ( 29 g f - 2 o ( 29 ( 29 ( 29 ( 29 f g = - + - - - = + + = + = = 2 1 3 4 1 6 1 2 2 6 23 5 2 23 23 23 28 23 3. Are functions  f  and  g  inverses of each other.  Explain. ( 29 - = - = 4 ( ) 4 3 ; 3 x f x x g x Yes, f(g(x)) = g(f(x)) = x ( 29 ( 29 - - + = - = - + = - - - - ÷ ÷ = = = = 4 4 4 3 3 4 3 4 4 3 3 4 3 4 4 4 3 3 3 3 x x f x x x x g x x x 4. Find the inverse of  ( 29 - = - 2 3 4 5 x f x x .  State the domain and range of each. 4.  ( 29 - + = + 1 4 3 2 5 x f x x ( 29 ( 29 - - = - = - + = + - + + = + = = + 1 2 3 4 5 2 3 4 3 2 5 4 5 4 3 4

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Review for Chap6&amp;12KEY - MDC:MAC1105...

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