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:
108 ft
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Answer:
614
Step-by-step explanation:
614 can also look like this ^!$ if you hold down caps.
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
Step-by-step explanation:
Given equation of line is:
We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4
Let m1 be the slope of given line
Then
Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1
The slope intercept form of line is given by:
Putting the value of slope
to find the value of b, putting (3,-3) in equation
Putting the value of b in the equation
Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:
Keywords: Equation of line, slope
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