We have the expression:
![\frac{1}{x - 1}=\frac{5}{x - 10}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%20-%201%7D%3D%5Cfrac%7B5%7D%7Bx%20-%2010%7D)
When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.
That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.
If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).
Expression:
![\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B1%7D%7Bx-1%7D%3D%5Cfrac%7B5%7D%7Bx-10%7D%20%5C%5C%20%5Cfrac%7Bx-1%7D%7B1%7D%3D%5Cfrac%7Bx-10%7D%7B5%7D%20%5C%5C%20x-1%3D%5Cfrac%7Bx%7D%7B5%7D-%5Cfrac%7B10%7D%7B5%7D%20%5C%5C%20x-1%3D%5Cfrac%7B1%7D%7B5%7Dx-2%20%5C%5C%20x-%5Cfrac%7B1%7D%7B5%7Dx%3D-2%2B1%20%5C%5C%20%5Cfrac%7B4%7D%7B5%7Dx%3D-1%20%5C%5C%20x%3D-1%5Ccdot%5Cfrac%7B5%7D%7B4%7D%20%5C%5C%20x%3D-%5Cfrac%7B5%7D%7B4%7D%20%5Cend%7Bgathered%7D)
Answer: There is no restriction for x in the expression.
Answer:
A must be true
Step-by-step explanation:
Since ABE and angle ACE are right angles the rest of the 2 angles are right angles either therefore EC = AB
The correct answer for the question that is being presented above is this one: "C. f(n) = 0.15n + 0.35." The equation that represents Marisa’s library fine as a function of a book that is n days overdue is f(n) = 0.15n + 0.35
Here are the following choices:
A. f(n) = 0.15n
<span>B. f(n) = 0.50n
</span><span>C. f(n) = 0.15n + 0.35
</span>D. f(n) = 0.50n + 0.15