SOLUTION: k{x)=4-x/x2-9 (find the zeros of the function)

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Question 77433: k{x)=4-x/x2-9

(find the zeros of the function)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To find the zeros we need to let k(x)=0 so we have

0=%284-x%29%2F%28x%5E2-9%29
So now we only care about the numerator. By this identity 0%2Fx=0 the denominator can be any number while the numerator is zero and the whole equation will be zero. So we can basically say:

0=4-x Now we can solve for x by adding x to both sides
x=4

So our zero is x=4
Notice the graph has an x-intercept of (4,0)
+graph%28+300%2C+200%2C+-2%2C+5%2C+-5%2C+5%2C%284-x%29%2F%28x%5E2-9%29%29+