Answer:
f(x) × g(x) = -6x² - 7x + 3
Step-by-step explanation:
→ let D₁ be the line that represents f :
Slope of D₁ = (-5 - 1)/(2 - 1) = -3
Also D₁ passes through the point (0 , 1)
Then ,
f(x) = -3x + 1
……………………………
→ let D₂ be the line that represents g :
Slope of D₂ = (5 - -1)/(1 - -2) = 6/3 = 2
Also D₂ passes through the point (0 , 3)
Then ,
g(x) = 2x + 3
……………………………
f(x) × g(x) = (-3x + 1)×(2x + 3)
= -6x² - 9x + 2x + 3
= -6x² - 7x + 3
