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
.
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Answer:
This means c=100. The factored form is
.
Step-by-step explanation:
A perfect square is a trinomial that factors into the form
. To find the value of C to finish the perfect square divide 20 by 2 and square it.
20/2 = 10
10*10=100
This means c=100. The factored form is
.
Answer: 7/18
Step-by-step explanation:
Number of customers at Eva's boutique = 90
Number of customers who wore a size extra-large = 35
The probability that a randomly selected customer wore a size extra-large will be:
= Number of customers who wore a size extra-large / Number of customers at Eva's boutique
= 35 / 90
= 7/18
Therefore, the probability that a randomly selected customer wore a size extra large is 7/18.
Answer:
The answer is 28 ft
Step-by-step explanation:
Since two sevenths of the height of a sailboats tallest mast is 8 feet, we keep adding two sevenths until we get its tallest mast.
2/7 = 8 ft
4/7 = 16 ft
6/7 = 24 ft
(Adding 1/7 which is 4 feet)
we get 7/7 = 28 ft
Answer: 20 units
Step-by-step explanation: