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

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

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

domain

f (x) = \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}

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