Question

F(x) = ^3 Squared 3x g(x) = 32 + 2 Find (f/g) (x)

Answer 1

By applying the functional theory related to binary operations of functions, we conclude that the resulting expression is equal to $(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}$.

How to find the expression of a division between two functions

In functional theory, there are five operations that can be used between two functions:

1. Addition - (f + g) (x) = f(x) + g(x)
2. Subtraction - (f - g) (x) = f(x) - g(x)
3. Multiplication - (f · g) (x) = f(x) · g(x)
4. Division - (f/g) (x) = f(x) / g(x)
5. Composition - (f ο g) (x) = f (g (x))

In this question we are asked to derive the expression of the division between two functions given. If we know that $f(x) = \sqrt[3]{3\cdot x}$ and g(x) = 3 · x + 2:

$(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}$

By applying the functional theory related to binary operations of functions, we conclude that the resulting expression is equal to $(f \,\circ \,g) (x) = \frac{\sqrt[3]{3\cdot x} }{3\cdot x + 2}$.

Remark

The statement is poorly formatted and reports many typing mistakes. Correct statement is shown below:

Let $f(x) = \sqrt[3]{3\cdot x}$ and g(x) = 3 · x + 2. Find (f/g) (x).

To learn more on functions: brainly.com/question/12431044

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