SOLUTION: find domain of the function g(x)=_7__ 5-7x

Algebra ->  Functions -> SOLUTION: find domain of the function g(x)=_7__ 5-7x       Log On


   

Question 515735: find domain of the function
g(x)=_7__
5-7x

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming your equation is:
+g%28x%29+=+7%2F%285-7x%29+
.
A value for x that results in the denominator = 0 cannot be allowed.
Division by 0 is undefined.
.
5-7x = 0 is not allowed
5 = 7x
7x = 5
x = 5/7 is not allowed
.
So x can take on values (-infinity,5/7) and (5/7, +infinity).
.
+graph%28500%2C500%2C-5%2C5%2C-5%2C5%2C+7%2F%285-7%2Ax%29+%29+