Suppose f(x)=4x 3 and g(x) = x + 2. a Find f1(x) and g1(x), the inverse functions of f
Chapter 25, Problem 46(choose chapter or problem)
Suppose f(x)=4x 3 and g(x) = x + 2. a Find f1(x) and g1(x), the inverse functions of f and g. b Find (f g1)(x). c Find the value of x such that (f g1)(x) = f1(x). d Suppose H(x) = f(x) g(x) . i Sketch the graph of y = H(x). Include its asymptotes and their equations. ii Find constants A and B such that 4x 3 x + 2 = A + B x + 2 . iii Calculate the exact value of Z 2 1 H(x) dx. iv On your sketch in i, shade the region whose area is given by Z 3 1 H(x) dx.
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