Question

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

Answer 1

Answer:

fourth option

Step-by-step explanation:

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

$\frac{f(x)}{g(x)}$ = $\frac{2x^2-5x-3}{2x^2+x}$ ← factorise numerator/ denominator

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

= $\frac{x-3}{x}$ where x ≠ 0, - $\frac{1}{2}$