Question: (2) Let f(x) = {-1/(x-2)} +3, g(x) = 3^(x-1) - 2, and h(x) = log2(x+3)+1.(a) Find (f - g)(3), (f * h)(-1), and (goh)(5).(b) Graph

$(2) Let f(x) = {-1/(x-2)} +3, g(x) = 3^(x-1) - 2,$

(2) Let f(x) = {-1/(x-2)} +3, g(x) = 3^(x-1) - 2, and h(x) = log2(x+3)+1.(a) Find (f - g)(3), (f * h)(-1), and (goh)(5).(b) Graph g(x). Find the range and the horizontal asymptote.(c) Graph h(x). Find the domain and the vertical asymptote.(d) Find h^(-1)(x). Graph h^(-1)(x) on the same coordinate plane.

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