Answer:
123445
Step-by-step explanation:
125123254125
Answer:
All real numbers except for 5.
Step-by-step explanation:
![f(x)=\frac{x}{x-5}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx%7D%7Bx-5%7D)
The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.
![x-5=0](https://tex.z-dn.net/?f=x-5%3D0)
![x=5](https://tex.z-dn.net/?f=x%3D5)
Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:
![\{x|x\in \mathbb{R}, x\neq 5\}](https://tex.z-dn.net/?f=%5C%7Bx%7Cx%5Cin%20%5Cmathbb%7BR%7D%2C%20x%5Cneq%205%5C%7D)
Answer:
x = 12
y = 6√3
Step-by-step explanation:
✅Apply the intersecting secant theorem to find x. Thus:
6(6 + x) = 7(7 + 8³/7)
Convert the mixed fraction to improper fraction
6(6 + x) = 7(7 + 59/7)
36 + 6x = 49 + 59
36 + 6x = 108
6x = 108 - 36
6x = 72
Divide both sides by 6
x = 72/6
x = 12
✅Apply the tangent-secant theorem to find y. Thus:
y² = 6(6 + x)
Plug in the value of x
y² = 6(6 + 12)
y² = 6(18)
y² = 108
y = √108
y = 6√3