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It is best to be clear about the process of the big problem of compulsory one in mathematical function.
Simplify first

f(x)=[x+( 1-2a)]? +6-( 1-2a)?

Because it is in (-...,-1), 1-2a >: 1

Find the range of a, and then find the range of f (2).

Just substitute the latter one directly, and it can be solved by comparing a with different values.

Usually, two numbers are subtracted to compare sizes.