If g(x) = (7−x)/ (2x+3) (a) What is the domain of g(x)? (b) Verify (with a sketch and/or short argument) that g is a one-to-one function. (c) Find a formula for the inverse function: that is, find g^(−1) (x). (d) Find the range of g. If you use a definition, explicitly cite it by using the phrase “by the definition of . . . .” • If you use a theorem (or a rule, a test), explicitly cite it by using the phrases “by theorem . . . .”

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