Final answer:
To simplify the expression ((x=1)/(x-1))+((x-1)/(x+1)), you would find a common denominator, combine the fractions into one, perform the arithmetic operations, and simplify the fraction.
Step-by-step explanation:
In this mathematics question, you are being asked to simplify a complex fraction function. This particular algebraic fraction simplifies as follows:
- Rearrange the provided equation into one fraction instead of two. This results in the equation:
- ((x=1)/(x-1))+((x-1)/(x+1)).
- Multiply the denominators together to find a common denominator, resulting in:
- (x+1) + (x-1)/[(x-1)(x+1)].
- Perform the addition in the numerator and simplify the denominator:
- 2x/[(x-1)(x+1)]
- This becomes our simplified fraction.
Learn more about Algebraic Fraction