Answer:
[tex]\frac{14}{5}[/tex]
Step-by-step explanation:
multiply g(x) by h(x)
= [tex]\frac{x+1}{x-2}[/tex] × 4 - x
= [tex]\frac{(x+1)(4-x)}{x-2}[/tex] = (g × h)(x)
To evaluate (g × h)(- 3) substitute x = - 3 into the product
= [tex]\frac{(-3+1)(4-(-3))}{-3-2}[/tex]
= [tex]\frac{-2(7)}{-5}[/tex] = [tex]\frac{-14}{-5}[/tex] = [tex]\frac{14}{5}[/tex]
