SOLUTION: Suppose that the​ x-intercepts of the graph of y=f(x) are 3 and 5. What are the​ x-intercepts of the graph of y= 9f(x)?

Algebra ->  Graphs -> SOLUTION: Suppose that the​ x-intercepts of the graph of y=f(x) are 3 and 5. What are the​ x-intercepts of the graph of y= 9f(x)?      Log On


   

Question 1151404: Suppose that the​ x-intercepts of the graph of y=f(x) are 3 and 5.
What are the​ x-intercepts of the graph of y= 9f(x)?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if x-intercepts of are 3 and 5 means roots x%5B1%5D=3, x%5B2%5D=5
using root product rule find equation of the line
y=f%28x%29=%28x-3%29%28x-5%29
+graph%28+600%2C+600%2C+-5%2C+10%2C+-10%2C+10%2C+%28x-3%29%28x-5%29%29+
then
y=+9f%28x%29=9%28x-3%29%28x-5%29
set y=0
9%28x-3%29%28x-5%29=0=>x-intercepts of are same 3 and 5
+graph%28+600%2C+600%2C+-5%2C+10%2C+-10%2C+10%2C+9%28x-3%29%28x-5%29%29+