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Determine the interval (s) where the following function is continuousx-7f(x)= (x-7)x+4)

Question
Determine the interval (s) where the following function is continuous
x-7
f(x)= (x-7)x+4)
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Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

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Step 1

In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out and it gives the more simplified function.

1
f(x)(x+4)
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1 f(x)(x+4)

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Step 2

A rational function is continuous for all real numbers except at points where its denominator is 0.
So, in order to find the interval of continuity for the function we have to find a interval of x for which the denominato...

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Tagged in

Math

Calculus

Continuity

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