Mary has twice as many pencils as she has pens. Tom borrows a pen. Now, Mary has ten less pens than pencils. How many pencils do
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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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So the distance between subway stop and house is 19 units
Step-by-step explanation:
The distance formula will be used to calculate the distance between home and subway.
Here (x1,y1) are the coordinates of first point
and
(x2,y2) are the coordinates of second point
Given
(x1,y1) = (7, -6)
(x2,y2) = (-9,5)
Putting the values in the formula
Rounding off to nearest unit gives us 19.
So the distance between subway stop and house is 19 units
Keywords: Distance, distance formula
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