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

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x