f(x)=x−1x2−1
Final Answer: f(x)=1x+1
Step 1 :Given function: f(x)=x−1x2−1
Step 2 :Factor the denominator as a difference of squares: x2−1=(x−1)(x+1)
Step 3 :Simplify the function by canceling out the common factors in the numerator and denominator: f(x)=x−1(x−1)(x+1)
Step 4 :Final Answer: f(x)=1x+1