Question

For each pair of functions F and G below, find f(g(x)) and g(f(x)).
Then, determine whether f and g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)

Answer 1

Answer:

FG

Step-by-step explanation:

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Answer 2

The function f(x) = x - 4 and g(x) = x + 4 and the function f(x) = -3/x and g(x) = 3/x are not inverse of each other.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

For each pair of functions F and G below, find f(g(x)) and g(f(x)).

a)  f(x) = x - 4 and g(x) = x + 4

Then f(g(x)) will be

$\rm f(g(x)) = x$

Then g(f(x)) will be

$\rm g(f(x)) = x$

The functions f and g  are not inverse of each other.

b) f(x) = -3/x and g(x) = 3/x

Then f(g(x)) will be

$\rm f(g(x)) =- x$

Then g(f(x)) will be

$\rm g(f(x)) = -x$

The functions f and g  are not inverse of each other.

More about the function link is given below.

https://brainly.com/question/5245372