Question

Consider functions f and g.



Which expression is equal to f(x) ⋅ g(x) ?

Answer 1

Answer:

C

x-2 / x+6

Step-by-step explanation:

I did the math

(I am not 100% sure though, so if I am wrong, someone please mention it!)

Answer 2

The function f(x) . g(x) is a composite function, and the value of f(x) . g(x) is (x- 2)/(x + 6)

What is a composite function?

A composite function is a function formed by combining multiple independent functions

The functions f(x) and g(x) are given as:

$f(x) = \frac{x + 12}{x^2 + 4x- 12}$

$g(x) = \frac{4x^2 - 16x+ 16}{4x+ 48}$

The composite function f(x) . g(x) is calculated using:

$f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4x^2 - 16x+ 16}{4x+ 48}$

Expand the functions

$f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4(x^2 - 4x+ 4)}{4(x+ 12)}$

Cancel out the common factors

$f(x) \cdot g(x) =\frac{1}{x^2 + 4x- 12} * \frac{x^2 - 4x+ 4}{1}$

Further, expand

$f(x) \cdot g(x) =\frac{1}{(x -2)(x + 6)} * \frac{(x - 2)(x - 2)}{1}$

Cancel the common factors

$f(x) \cdot g(x) =\frac{x- 2}{x + 6}$

Hence, the value of f(x) . g(x) is (x- 2)/(x + 6)

Read more about composite functions at:

https://brainly.com/question/10687170

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