F * g means exactly that.
Which is that you should multiply the definitions of the functions.
(x+7)(1/x-13) = x/x-13 + 7/x-13 = x+7/x-13
x+7/x-13
The domain of this function, is x<13 and x>13.
But not 13. Because 13-13 = 0
And it is not legal to divide a number by 0.
Hence, f*g(13) is not defined.
Alabama: 22,100
Tennessee: 21,900
Can I have brainlyest please?
Step-by-step explanation:
=fog(x)
−2x=0
x(x−2)=0
x=0,2
Answer:
![x=50](https://tex.z-dn.net/?f=x%3D50)
Step-by-step explanation:
![\frac{x}{5}+15=25\\ \frac{x}{5}+15 -15 =25 - 15 \leftarrow\text { Use the Subtraction Property of Equality}\\](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D%2B15%3D25%5C%5C%20%5Cfrac%7Bx%7D%7B5%7D%2B15%20-15%20%3D25%20-%2015%20%5Cleftarrow%5Ctext%20%7B%20Use%20the%20Subtraction%20Property%20of%20Equality%7D%5C%5C)
![\frac{x}{5}=10\\\\\frac{x}{5}*\frac{5}{x} =10*5\leftarrow \text { Multiplication Property of Equality} \\\\\boxed{x=50}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B5%7D%3D10%5C%5C%5C%5C%5Cfrac%7Bx%7D%7B5%7D%2A%5Cfrac%7B5%7D%7Bx%7D%20%3D10%2A5%5Cleftarrow%20%5Ctext%20%7B%20Multiplication%20Property%20of%20Equality%7D%20%20%5C%5C%5C%5C%5Cboxed%7Bx%3D50%7D)
<h3>Checking by Substitution:</h3>
![\frac{50}{5} +15=25\\\rightarrow 50/5=10\\10+15=25\\\boxed {25=25}](https://tex.z-dn.net/?f=%5Cfrac%7B50%7D%7B5%7D%20%2B15%3D25%5C%5C%5Crightarrow%2050%2F5%3D10%5C%5C10%2B15%3D25%5C%5C%5Cboxed%20%7B25%3D25%7D)
'x = 50' is correct.
The greatest common factor is 8.