SOLUTION: Please help!! i have to answer these two questions: 1)Solve and check 25x^2 - 24x = 0 2) Find the domain of the rational function.(answer in interval notation) f(y)

Algebra ->  Rational-functions -> SOLUTION: Please help!! i have to answer these two questions: 1)Solve and check 25x^2 - 24x = 0 2) Find the domain of the rational function.(answer in interval notation) f(y)      Log On


   

Question 639140: Please help!! i have to answer these two questions:
1)Solve and check
25x^2 - 24x = 0
2) Find the domain of the rational function.(answer in interval notation)
f(y)= y+8 divided by y^2-8y

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
++25x%5E2+-+24x+=+0+
++x%2825x+-+24%29+=+0+
Use a property of zero
x=0 or 25x-24=0
x=0 or x=0.96
.
.
f%28y%29=+%28y%2B8%29%2F%28y%5E2-8y+%29
The domain is y%5E2-8y%3C%3E0
solve y%5E2-8y=0
y%28y-8%29=0
y=0 or y-8=0
Hence
y%3C%3E0 or y%3C%3E8
D(f) (-infinity,0)U(0,8)U(8,infinity)