Question: Given the functions m(x) = 3x + 11 and h(x) = 4 3x, find and simplify (m o h)(x). Given the functions f(x) = %

Given the functions m(x) = 3x + 11 and h(x) = 4 3x, find and simplify (m o h)(x). Given the functions f(x) = % and g(x) = i, find and simplify (f = g)(x) and state the domain of the composite function using interval notation. Let h(x) = 7 In(x 5) + 2. Decompose h(x) into two functions f(x) and g(x) such that (f o g)(x) = h(x). Find the domain of h(x) = log,(x% 81). Find the inverse of the functions. f(x) =4 3{5x 9 gx) =7+ 4e*~ 11 2x 1 h(x) =5 log,(x 4) k(x) = Y Let k(x) = (x + 8) 5. What are the largest domains we could use to restrict the domain and make this 1-1? Find a formula for the inverse function using an appropriate domain

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