Original
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}}