SOLUTION: What are the x- and y- intercepts of {{{y=3(2-sqrt(x))/x}}}

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Question 206878: What are the x- and y- intercepts of y=3%282-sqrt%28x%29%29%2Fx
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
What are the x- and y- intercepts of +y=3%282-sqrt%28x%29%29%2Fx+

To find the x-intercept, substitute 0 for y and solve for x:

+y=3%282-sqrt%28x%29%29%2Fx+

+0=3%282-sqrt%28x%29%29%2Fx+

Multiply through by x 

+0=3%282-sqrt%28x%29%29+

Divide both sides by 3

+0=2-sqrt%28x%29+

sqrt%28x%29=2

Square both sides:

%28sqrt%28x%29%29%5E2=%282%29%5E2

+x=4+

So the x-intercept is (4,0)

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To find the y-intercept, substitute 0 for x and solve for y:

Oh! oh! The denominator is x and it can never be 0,
so the graph of this fuchtion cannot have a y-intercept.

Here is the graph:



As you can see it intercepts the x-axis at(4,0), marked with
a little circle.

Edwin