What is the domain of (x^2-16)/(4x+5) ?

The domain of (x^2-16)/(4x+5) is x -5/4

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domain of (x^2-16)/(4x+5)

domain

\frac{x ^{2} - 16}{4 x + 5}

x < - \frac{5}{4} or x > - \frac{5}{4}

Interval Notation

(- \infty, - \frac{5}{4}) \cup (- \frac{5}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{4}

The function domain

x < - \frac{5}{4} or x > - \frac{5}{4}

\frac{x ^{2} - 49}{x ^{2} - 81}

\frac{5 x}{7 x - 1}

ln (1 - ln (x))

\frac{x ^{2} - 4}{x ^{2} - x - 6}

\frac{x + 6}{x - 7}

What is the domain of (x^2-16)/(4x+5) ?
The domain of (x^2-16)/(4x+5) is x<-5/4 \lor x>-5/4