Writing Errands

1. Show that the function f(x) = 2 / 3 – x is one-to-one. Check you answer algebraically and graphically. Verify that the range of f is the range of f -1 and viceversa.
2. x = 1/x, g(x) = x^2, and h(x) = sqrt(2x)
a) Find and simplify the expression for the function (h of f of g)(x)
b) State the domain of the expression you just found using interval notation

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