SOLUTION: Find the domain of the function. g(x)=8/(6-7x)

Algebra ->  Expressions-with-variables -> SOLUTION: Find the domain of the function. g(x)=8/(6-7x)      Log On


   



Question 454868: Find the domain of the function.
g(x)=8/(6-7x)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

g%28x%29=8%2F%286-7x%29....The domain is all the values that x is allowed to take on. The only problem we have with this function is that we need to be careful not to divide by zero. So the only values that x+can not take on are those which would cause division by zero. So we wll set the denominator equal to zero and solve; your domain will be everything else.

6-7x=0
6=7x
6%2F7=x

domain:
(-infinity,6%2F7) U (6%2F7, infinity)

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+8%2F%286-7x%29%29+