What is the domain of f(x)= x/(5x+16) ?

The domain of f(x)= x/(5x+16) is x -16/5

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domain of f(x)= x/(5x+16)

domain

f (x) = \frac{x}{5 x + 16}

x < - \frac{16}{5} or x > - \frac{16}{5}

Interval Notation

(- \infty, - \frac{16}{5}) \cup (- \frac{16}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{16}{5}

The function domain

x < - \frac{16}{5} or x > - \frac{16}{5}

f (x) = \frac{1}{9.3 x - 1.4 x ^{2}}

5 - 4 x

f (x) = \frac{2 x ^{2} + 1}{3 x - 5}

f (x) = \frac{x ^{2} + 2 x - 3}{( x - 1 ) ( x ^{2} - 4 )}

f (x) = - 3 + x + 1

What is the domain of f(x)= x/(5x+16) ?
The domain of f(x)= x/(5x+16) is x<-16/5 \lor x>-16/5