SOLUTION: What is the domain and sketch the graph of the reducible function. f(x) = (x^2 -25) / (2x -10).

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What is the domain and sketch the graph of the reducible function. f(x) = (x^2 -25) / (2x -10).       Log On


   

Question 443133: What is the domain and sketch the graph of the reducible function.
f(x) = (x^2 -25) / (2x -10).

Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
In my opinion since the function is reducible, first we reduce the function and after find the domain and sketch the graph.
f%28x%29=%28x%2B5%29%28x-5%29%2F2%28x-5%29=%281%2F2%29%28x%2B5%29, which is the linear function on its
slope-intercept form. We know its domain is the set of all real numbers and the graph the line:y=x/2+5/2.
graph%28300%2C+300%2C+-8%2C+5%2C+-5%2C+5%2C+%28x%2F2%29%2B%285%2F2%29%29