Problem

f(x)=x1x21

Answer

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Answer

Final Answer: f(x)=1x+1

Steps

Step 1 :Given function: f(x)=x1x21

Step 2 :Factor the denominator as a difference of squares: x21=(x1)(x+1)

Step 3 :Simplify the function by canceling out the common factors in the numerator and denominator: f(x)=x1(x1)(x+1)

Step 4 :Final Answer: f(x)=1x+1

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