Find Domain of function using Interval Notation

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

6 0

[ - 4 , 4 ) ∪ ( 4 , ∞ )

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 4 = 0 ⇒ x = 4 ( is a vertical asymptote )

There is a zero when the numerator equals zero.

x + 4 = 0 ⇒ x = - 4 ( is a zero )

domain is [-4 , 4 ) ∪ ( 4 , ∞ )

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