SOLUTION: For each rational expression, find the domain: A. f(x)= (−7)/(3x−18) B. f(x)= (5x+10)/(x^2−7x+10)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: For each rational expression, find the domain: A. f(x)= (−7)/(3x−18) B. f(x)= (5x+10)/(x^2−7x+10)       Log On


   

Question 1130314: For each rational expression, find the domain:
A. f(x)= (−7)/(3x−18) B. f(x)= (5x+10)/(x^2−7x+10)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Here are the steps required for Finding the Domain of a Rational Function:
Step 1: A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined.
To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.


A.
f%28x%29=+%28-7%29%2F%283x-18%29+
=>%283x-18%29=0+->x=6
domain:
{ x element of R: x%3C%3E6 }

B.
f%28x%29=+%285x%2B10%29%2F%28x%5E2-7x%2B10%29+
x%5E2-7x%2B10=0+-> %28x+-+5%29+%28x+-+2%29+=+0+->x=5 and x=2

domain:
{ x element of R: x%3C%3E5 and x%3C%3E5 }