What is the domain of f(x)= 3/(25-x^2) ?

The domain of f(x)= 3/(25-x^2) is x 5

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domain of f(x)= 3/(25-x^2)

domain

f (x) = \frac{3}{25 - x ^{2}}

x < - 5 or - 5 < x < 5 or x > 5

Interval Notation

(- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 5

The function domain

x < - 5 or - 5 < x < 5 or x > 5

f (x) = x^{2} 4

f (x) = \frac{x ^{2} + 5 x + 4}{- 2 x ^{2} - 6 x}

f (x) = \frac{3}{5} x - 3

y = \frac{( x ^{2} )}{( 2 x + 4 )}

\frac{( x - 1 ) ( x + 4 )}{( x + 1 ) ( x - 6 )}

What is the domain of f(x)= 3/(25-x^2) ?
The domain of f(x)= 3/(25-x^2) is x<-5\lor-5<x<5\lor x>5