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Suppose we have functions {{MATH_48}} and {{MATH_49}} with: {{ENV_50}} Find a formula for {{MATH_51}} and state its domain. {{CMD_52}} The domain of {{MATH_53}} is {{MATH_54}}. From this we can see that the range of {{MATH_55}} is the interval {{MATH_56}}. This is contained in the domain of {{MATH_57}}. This means that the domain of {{MATH_58}} is {{MATH_59}}. Next, we substitute {{MATH_60}} for each instance of {{MATH_61}} found in {{MATH_62}} and so {{ENV_63}} We can summarize our results as a piecewise function, which looks somewhat interesting: {{MATH_64}} {{CMD_65}} {{CMD_66}}

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