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The simplified form of the function is (2x + 1) / [(2x + 2)(2x + 6)].

User Jhilden
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It seems you want to simplify the rational function:

f(x) = (2x + 1) / [(2x + 2)(2x + 6)]

You can start by factoring the numerator and the denominator:

f(x) = [(2x + 1)] / [(2x + 2)(2x + 6)]

Now, let's simplify further. The numerator is already factored. In the denominator, you can factor out a 2 from both terms:

f(x) = [(2x + 1)] / [2(2x + 1)(x + 3)]

Now, you can see that there's a common factor of (2x + 1) in both the numerator and the denominator. Cancel out this common factor:

f(x) = 1 / [2(x + 3)]

So, the simplified form of the function is:

f(x) = 1 / [2(x + 3)]

User Dien
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