What do the graphs of the two even degree functions (y = x^2 and y = x^4) have in common?

We have been given two functions and .

Now questions is asking about what do the graphs of the two even degree functions and have in common.

By property of even edgree polynomial we know that if it starts from top then it will also end at the top.

If it starts from bottom then it will also end in bottom.

In simple words, we can says that even degree polynomial starts and ends in same direction.

Given functions and are also even degree polynomial so common thing about them is that they will start and end in the same direction. (Upward). You can also check the attached graph of both for better guidance.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b