Horizontal Translation and Dilation Problem: Let f, g, and h be defined by f(x) = x2 for

Chapter 1, Problem 11

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Horizontal Translation and Dilation Problem: Let f, g, and h be defined by f(x) = x2 for 2 x 2 g(x) = x 3 for all real values of x for all real values of x a. f(g(x)) = f(x 3). What transformation of function f is equivalent to the composite function f g? b. f(h( x)) = What transformation of function f is equivalent to the composite function f h? c. Plot the graphs of f, f g and f h.Sketch the results. Do the graphs confirm your conclusions in part a and part b? 2

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