Question

If f(x) = 1/x^2 -1, then f(1/a+1)=

Answer 1

Step-by-step explanation:

step 1. f(1/(a + 1)) = 1/(1/(a + 1))^2 - 1

step 2. f(1/(a + 1)) = 1/(1/(a + 1)^2) - 1

step 3. f(1/(a + 1)) = (a + 1)^2 - 1

step 4. f(1/(a + 1)) = a^2 + 2a + 1 - 1

step 5. f(1/(a + 1)) = a^2 +2a

step 6. f(1/(a + 1)) = a(a + 2)