SOLUTION: what values are excluded from the domain of the function a) f(x)=5x+1 b)g(x)=3x+1/x+3

Algebra ->  Algebra  -> Functions -> SOLUTION: what values are excluded from the domain of the function a) f(x)=5x+1 b)g(x)=3x+1/x+3      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 74236: what values are excluded from the domain of the function
a) f(x)=5x+1
b)g(x)=3x+1/x+3
Answer by jim_thompson5910(28476) About Me  (Show Source):
You can put this solution on YOUR website!
For the 1st equation, you can plug any value for x, since you will always get real number output. If you graph it, you get a line that extends infinitely in both directions. For the 2nd equation, look at the 1%2Fx term. If you plug in x=0 you get 1%2F0 which is not possible. So 0 is excluded from the domain of the 2nd graph. If you graphed the equation you get something like this
graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3x%2B1%2Fx%2B3%29+Notice how the curve approaches 0 but is never equal to it.