SOLUTION: Find the domain of the function: g(x)=1/10-7x.

Algebra ->  Functions -> SOLUTION: Find the domain of the function: g(x)=1/10-7x.      Log On


   



Question 282221: Find the domain of the function: g(x)=1/10-7x.
Answer by Mathematicians(84) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of a rational function is when the denominator can't be 0:
g%28x%29=1%2F%2810-7x%29
so if we set the denominator equal to 0, we can see which values do not work:
10-7x+=+0(subtract 10 on both sides)
-7x+=+-10(divide -7 on both sides)
x+=+10%2F7
so the domain can be anything but 10/7 because that is when the denominator is 0.
In interval notation: (-inf,10/7)U(10/7,inf)