Answer:
- When we are having a rational expression i.e. a expression of the type:

Where f(x) and g(x) are polynomial functions.
Now the domain of this rational expression is whole of the real numbers except the points where the function g(x) will be zero.
Hence we have to exclude the points where the given denominator quantity is zero.
- Let us consider an example as:
Let R(x) denote the rational function as:

Now the domain of this rational function will be whole of the real line minus the points where the denominator is zero.
We know that (x-2)(x-3) is zero when x=2 or x=3.
Hence, the domain of R(x) is: R- {2,3}.
Just invert it like:

There you have your common denominator! Don't forget to multiply the numerator as well.
Answer:

Step-by-step explanation:


Answer:
91 ways. So the answer to the problem's question is THIS : in 15*91 = 1365 ways.
Step-by-step explanation:
Answer:
Width of the house is 15.25 feet.
Step-by-step explanation:
Jason ran around his house = 3 times
In this run he covered total distance = 274.5 feet
Perimeter of the house = 2(length + width)
= 2(30.5 + width)
Perimeter of the house is the distance covered by Jason in one round.
So, distance covered in 3 rounds = 3[2(30.5 + width)]
274.5 = 6(30.5 + width)
274.5 = 6(30.5 + width)
45.75 = 30.5 + width
width = 45.75 - 30.5
width = 15.25 feet
Therefore, width of the house is 15.25 feet.