SOLUTION: f(x)= 9-x^2/x^2-4x-4 find x and y intercepts

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Question 114938: f(x)= 9-x^2/x^2-4x-4 find x and y intercepts
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x intercepts:
Set f(x) equal to zero and solve for x

0=+%289-x%5E2%29%2F%28x%5E2-4x-4%29

9-x%5E2=0 This means the numerator is equal to zero. The denominator is never zero

9=x%5E2 Add x^2 to both sides

When taking the square root, we get the answers x=-3 or x=3


y-intercepts:

Simply plug in x=0 and solve for y


f%280%29=+%289-0%5E2%29%2F%280%5E2-4%280%29-4%29



f%280%29=+-9%2F4 Simplify


So the y-intercept is +-9%2F4