The equation that can be used to represent the area of the triangle is A(x) = 0.5(f ∙ g)(x) ⇒ 2nd answer
Step-by-step explanation:
The formula of the area of a triangle is A = [tex]\frac{1}{2}[/tex] b h, where
∵ The area of the triangle when x = 2 is 14
∴ The base and the height of the triangle are functions of x
Assume that the length of the base of the triangle is represented by f(x) and the length of the height of the triangle is represented by g(x)
∵ A = = [tex]\frac{1}{2}[/tex] b h
∵ b = f(x)
∵ h = g(x)
- Substitute b by f(x) and h by g(x) in the rule and replace A by
A(x) because the area of the triangle is a function of x
∴ A(x) = [tex]\frac{1}{2}[/tex] f(x) . g(x)
∵ f(x) . g(x) can be written as (f . g)(x)
∴ A = [tex]\frac{1}{2}[/tex] (f . g)(x)
∵ [tex]\frac{1}{2}[/tex] = 0.5
∴ A = 0.5(f . g)(x)
The equation that can be used to represent the area of the triangle is A(x) = 0.5(f ∙ g)(x)
Learn more:
You can learn more about the functions in brainly.com/question/2645523
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