Find the function and domain, Mathematics

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Consider the function f(x) = x + 1/x2 + 2x - 3.

(a) Find f(2) and f(-2).

(b) Find the domain of f(x).

(c) Does the range include 1? Show your working.

(d) Find and simplify f(x - 1).

(e) Does the graph of y = f(x) cut the x-axis? If so, where?

 


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