Question

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

Answer 1

Answer:

$\frac{1}{2x-3}$

Step-by-step explanation:

($\frac{f}{g}$ )(x)

= $\frac{f(x)}{g(x)}$

= $\frac{x+1}{2x^2-x-3}$ ( factorise the denominator )

= $\frac{x+1}{(2x-3)(x+1)}$ ← cancel the common factor (x + 1) on numerator/ denominator

= $\frac{1}{2x-3}$