Question

Given f(x)=2x2−5x−3 and g(x)=2x2+x .
What is (fg)(x) ?

Answer 1

c

Explanation:

Answer 2

fourth option

Explanation:

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

`(f(x))/(g(x))` =
`(2x^2-5x-3)/(2x^2+x)` ← factorise numerator/ denominator

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

=
`(x-3)/(x)` where x ≠ 0, -
`(1)/(2)`