What do you call a relation where each element in the domain is related to only one value in the range by some rules?
1 answer:
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Answer:
<h2>A. -2y+5x/3x-2y</h2>Step-by-step explanation:
Given the complex fraction;
First we will find the LCM of the numerator and the denominator as shown below;
Then we divide both equation by multiplying the numerator by the reciprocal of the denominator as shown;
This gives the required answer
<h2>Steps:</h2>
So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:
Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:
Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:
Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite it as:
Next, multiply:
Next, divide:
And lastly, simplify:
- A good tip:
<u>The correct option is C. x² + 4x + 4.</u>