What is the domain of f(x)= 1/(2x+3) ?

The domain of f(x)= 1/(2x+3) is x -3/2

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domain of f(x)= 1/(2x+3)

domain

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

x < - \frac{3}{2} or x > - \frac{3}{2}

Interval Notation

(- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{2}

The function domain

x < - \frac{3}{2} or x > - \frac{3}{2}

f (x) = tan (4 x - π) + 1

f (x) = (x - 2) (x + 1) (x - 3)

(- 4, - 5), (3, 0)

(- 10, 2), (0, - 7)

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

What is the domain of f(x)= 1/(2x+3) ?
The domain of f(x)= 1/(2x+3) is x<-3/2 \lor x>-3/2