Question

F(x) = (x + 1) ^ - 1 and g(x)=x-2, what is the domain of f(x) / g * (x) ?

Answer 1

(-∞, -1) ∪ (-1, 2) ∪ (2, ∞)

Explanation:

f(x) / g(x)

1 / (x + 1) ÷ x - 2

1 / (x + 1) ÷ 1 / (x - 2)

1 / (x + 1)(x - 2)

1 / x^2 -2x + x - 2

1 / x^2 -x - 2

domain; (-∞, -1) ∪ (-1, 2) ∪ (2, ∞)