Question

For f(x) = x + 1 and g(x) = 2x^2 - x - 3, find (f/g)(x).

Answer 1

`(1)/(2x-3)`

Explanation:

(
`(f)/(g)` )(x)

=
`(f(x))/(g(x))`

=
`(x+1)/(2x^2-x-3)` ( factorise the denominator )

=
`(x+1)/((2x-3)(x+1))` ← cancel the common factor (x + 1) on numerator/ denominator

=
`(1)/(2x-3)`