What is the domain of f(x)= 7/(16-x^2) ?

The domain of f(x)= 7/(16-x^2) is x 4

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domain of f(x)= 7/(16-x^2)

domain

f (x) = \frac{7}{16 - x ^{2}}

x < - 4 or - 4 < x < 4 or x > 4

Interval Notation

(- \infty, - 4) \cup (- 4, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 4

The function domain

x < - 4 or - 4 < x < 4 or x > 4

f (x) = - 2 x^{2} - 4 + ln (- 5 - 2 x)

\frac{x + 5}{4 x - 2}

\frac{y}{3 y ^{2} + 17 y + 10}

f (x) = 11

f (x) = - \frac{5}{x}

What is the domain of f(x)= 7/(16-x^2) ?
The domain of f(x)= 7/(16-x^2) is x<-4\lor-4<x<4\lor x>4