What is the domain of ((4a^2-20a+25))/(25-4a^2) ?

The domain of ((4a^2-20a+25))/(25-4a^2) is a 5/2

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domain of ((4a^2-20a+25))/(25-4a^2)

domain

\frac{( 4 a ^{2} - 20 a + 25 )}{25 - 4 a ^{2}}

a < - \frac{5}{2} or - \frac{5}{2} < a < \frac{5}{2} or a > \frac{5}{2}

Interval Notation

(- \infty, - \frac{5}{2}) \cup (- \frac{5}{2}, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Solution steps

Find undefined (singularity) points:

a = \frac{5}{2}, a = - \frac{5}{2}

The function domain

a < - \frac{5}{2} or - \frac{5}{2} < a < \frac{5}{2} or a > \frac{5}{2}

\frac{1}{2} x - 3

f (x) = - x + 2

f (x) = \frac{3 x + 2}{1 - x}

f (x) = arccos (\frac{5 x - 1}{3})

\frac{x ^{2} + 2 x}{x - 1}

What is the domain of ((4a^2-20a+25))/(25-4a^2) ?
The domain of ((4a^2-20a+25))/(25-4a^2) is a<-5/2 \lor-5/2 <a< 5/2 \lor a> 5/2