By applying the functional theory related to binary operations of functions, we conclude that the resulting expression is equal to [tex](f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}[/tex].
In functional theory, there are five operations that can be used between two functions:
In this question we are asked to derive the expression of the division between two functions given. If we know that [tex]f(x) = \sqrt[3]{3\cdot x}[/tex] and g(x) = 3 · x + 2:
[tex](f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}[/tex]
By applying the functional theory related to binary operations of functions, we conclude that the resulting expression is equal to [tex](f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}[/tex].
The statement is poorly formatted and reports many typing mistakes. Correct statement is shown below:
Let [tex]f(x) = \sqrt[3]{3\cdot x}[/tex] and g(x) = 3 · x + 2. Find (f/g) (x).
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