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The question is an illustration of equivalent ratios.
- 3 cups of dark orange require 3 ounces of yellow paint
- 3 cups of light orange require 19.5 ounces of yellow paint
1 cup of dark orange requires
To make 3 cups, we simply multiply by 3, because
So, we have:
2 cups of light orange require
To make 3 cups, we simply multiply by 1.5, because
So, we have:
Hence:
- 3 cups of dark orange require 3 ounces of yellow paint
- 3 cups of light orange require 19.5 ounces of yellow paint
Read more about equivalent ratios at:
Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of <em>function</em> operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the <em>resulting</em> function is any <em>real</em> number except x = 1/3.
<h3>How to analyze a composed function</h3>
Let be f and g functions. Composition is a <em>binary function</em> operation where the <em>variable</em> of the <em>former</em> function (f) is substituted by the <em>latter</em> function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the <em>composed</em> function is:
The domain of the function is the set of x-values such that f ° g (x) exists. In the case of <em>rational</em> functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is .
To learn more on composed functions: brainly.com/question/12158468
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