Question: 6. Consider Jx) = (x 1)2 + 2. a. State the domain and range of at). b. Find the vertex V = (p, q) of

6. Consider Jx) = (x 1)2 + 2. a. State the

6. Consider Jx) = (x 1)2 + 2. a. State the domain and range of at). b. Find the vertex V = (p, q) of f(x). What is the image of V iff(x) is reflected through the line 3! = x? c. Sketch y = f_1(x). d. Find the inverse of x) algebraically. Conrm your answer by computing f(f_1(x)) and f'1(f(x)). e. Restrict the domain of x) so that f_1(x) is also a function

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