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Please typ.e answ.ers or write clearly 1. 5. Describe the transformation of the graph off into the graph of g as either a horizontal or

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1.

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5. Describe the transformation of the graph off into the graph of g as either a horizontal or vertical stretch. (2 points) r(x) = J; and 9(x) = N; 19. Find f(x) and 90:) so that the function can be described as y = f(g(x)). (5 points) 3 x2 y= +2 20. Conrm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points) x+4 f = (X) 6 and 900 = 6x - 4 1. For each function given, use a graphing calculator to graph the function. Sketch the graph on your paper, with axes marked. Then use the draw inverse feature of the graphing calculator to draw the inverse of the function. Sketch the inverse on your paper in a different color or with a dotted line. Then determine whether the graph of the inverse relation is an inverse function, explaining your reasoning. 20 points each a. f(x) = x3 +x+1 b. h(x) = x\\/4 X2 3x2 C. X = g() x2+1 d. f(x)=4X x2 +15 2. Find the inverse of f(x) = ax + b using algebraic steps. Use your results to explain cx + d why f ( x ) = 7x +5 has its own inverse f-(x) = 7x +5 20 points 3x- 7 3x - 7

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