Chapter8: Roots And Radicals
Section8.7: Use Radicals In Functions
Problem 8.142TI: Find the domain of the function, f(x)45x. Write the domain in interval notation.
Related questions
Question
Determine the domain of each function. Then use various limits to find
the asymptotes. y = x3/x3 - 8
Expert Solution
Step 1
Given that:
The rational function is y = .
Step 2
By using,
Domain of a function is the set of input or argument values for which the function is real and defined.
Asymptotes :
An asymptotes is a line that a curve approaches , as it heads toward infinity.
Step 3
To find domain :
Let,
y =
We know that,
Domain of the rational function is the set of all input values except the zeros of the denominator.
To find zeros of denominator x3 - 8 :
x3 - 8 = 0
x3 - 23 = 0
x3 = 23
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