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(c) Does f (x) have any holes? If so, where are they? (just the x-coordinate is suffi- cient)(d) Does f (x) have any x-intercepts? If so, what are they?

C Does F X Have Any Holes If So Where Are They Just The Xcoordinate Is Suffi Cientd Does F X Have Any Xintercepts If So What Are They class=

Sagot :

[tex]f(x)=\frac{2(x+7)(x-3)^2(x+1)}{3(x-4)^3(x+5)(x+1)}[/tex]

f(x) is not defined where the term of the denominator is zero.

This happens when x = 4, x = -5 or x = -1

The x-intercepts is the points where f(x) = 0

this happens when x = -7 and x = 3

Notice that x = -1 can't be a x-intercept because the function is not defined at this point.

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