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Let: g(x) = . Homework Help ✎

  1. State the domain of g.

  2. Solve for x if g(x) = 0.5.

  3. Explain why g does not have an inverse that is a function.

Solve for all values for which the denominator is zero. This will make the function undefined. That is, solve x2x = 0.

Recall that to create the inverse, reflect the original function over the line y = x.