# A 2 5 h x x x b 3 3 5 6 h x x x c x h x x e 12 assume

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(A) 2 ( ) 5 h x x x = (B) 3 3 ( ) 5 6 h x x x = + (C) ( ) x h x x e = + 12. Assume f is a one-to-one function (A) If (2) 9 f = , find 1 (9) f (B) If 1 ( 3) 1 f = , find (1) f (C) ( ) 5 2 f x x = , find 1 ( 3) f 13. Find the inverse, ( ) g x , of ( ) 5 3 ( ) 2 f x x = . Justify f and g are inverses (and make a conclusion). 14. If ( ) 2 1 f x x = + and 3 ( ) 5 g x x = , what is the domain of ( ) ( ) ( ) h x g f x = ? 15. Given the following graph, List the location of a) infinite discontinuities b) jump discontinuities c) removable discontinuities 16. Write the function in standard transformation form 2 2 7 8 4 ( ) 3 5 x f x e § · ¨ ¸ © ¹ = + Inputs x valued What values you are allowedto put into thefunction outputs y values generated by the inputs next page next page next page 1 Make sure it's l I 2 switch xd y 3 solve for y next page l I I a X 2 I b x f c x I

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3 Theorem of inverses given two functions fag if fog x got Cx x f and g are inverses 4 Discontinuities I 1 removable non removable Hole Infinite Jump o V A not ie t 5 I I Function each has a unique y meaning y values are NOT repeated For example fCx X2 f i l and fl 1 thus f is not l l T 9 To check samey value generated 1 I use horizontal line test by 2 different X values Importance I 1 functions have an inverse n if i haof C 3 7 find y value by plugging x 3 into what's left what wasn't removed 3 S 8 1 8 Thx g o NG TFz ToNXx 650 7 10 DT a 2 U 2,9 DN 34 Dion 12,67016 NCx brings his domain with 5 101 0 X 220 him 5 2 10 10 X 1 2 X 2 SVE
• Fall '19
• Trigraph, Continuous function, Inverse function, Classification of discontinuities, Injective function, Inverses

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