consider the function f(x)= x-2/x^2-81. for what value of x, if any, will this function a) equal 0? b) be undefined

explain.

1 answer

f(x)= (x-2)/(x^2-81)

which is
(x-2)/ [ (x-9)(x+9) ]

it is zero if the numerator is zero
so when x = 2

it is undefined when the denominator is zero
x = 9 or x = -9
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