Consider the two functions shown below.

ANSWER

B. The functions f(x) and g(x) because f(g(x))=g(f(x))=x

EXPLANATION

The given functions are:

and

If f(x) and g(x) are inverses, then

f(g(x))=x

Expand the parenthesis to obtain,

Also,

Hence f(x) and g(x) are inverses

Option B

Then The functions f(x) and g(x) are inverses because

Step-by-step explanation:

To answer this question we must make the composition of f (x) and g (x)

We found

We know that

By definition if two functions f and g are inverses then it follows that:

So if f and g are inverse

To find   enter the function g(x) within  the function f(x) as shown below

Now

Observe that

Then The functions f(x) and g(x) are inverses because

step-by-step explanation:

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