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:
![f\,\circ\,g \,(x) = \frac{\frac{1}{x} }{\frac{1}{x}-3}](https://tex.z-dn.net/?f=f%5C%2C%5Ccirc%5C%2Cg%20%5C%2C%28x%29%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%7B%5Cfrac%7B1%7D%7Bx%7D-3%7D)
![f\,\circ\,g\,(x) = \frac{\frac{1}{x} }{\frac{1-3\cdot x}{x} }](https://tex.z-dn.net/?f=f%5C%2C%5Ccirc%5C%2Cg%5C%2C%28x%29%20%3D%20%5Cfrac%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%7B%5Cfrac%7B1-3%5Ccdot%20x%7D%7Bx%7D%20%7D)
![f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}](https://tex.z-dn.net/?f=f%5C%2C%5Ccirc%5C%2Cg%5C%2C%28x%29%20%3D%20%5Cfrac%7B1%7D%7B1-3%5Ccdot%20x%7D)
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
#SPJ1
Answer:
The answer is "They are similar".
Step-by-step explanation:
They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.
Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.
Answer:
no triangle
Step-by-step explanation:
It’s 2.26 (now I am going to write random stuff bc it says I need to have 20 characters ggvjffdffvhkjhv)