What is the domain of k(y)= 1/(2y+1) ?

The domain of k(y)= 1/(2y+1) is y -1/2

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domain of k(y)= 1/(2y+1)

domain

k (y) = \frac{1}{2 y + 1}

y < - \frac{1}{2} or y > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

y = - \frac{1}{2}

The function domain

y < - \frac{1}{2} or y > - \frac{1}{2}

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

f (x) = 4 + x^{2} + 4 x

f (x) = 4 - x

f (x) = 150 x - \frac{3 x ^{2}}{2}

f (x) = \frac{1}{12 x + 17}

What is the domain of k(y)= 1/(2y+1) ?
The domain of k(y)= 1/(2y+1) is y<-1/2 \lor y>-1/2