What is the domain of f(x)= 1/(4x+3) ?

The domain of f(x)= 1/(4x+3) is x -3/4

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domain of f(x)= 1/(4x+3)

domain

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

x < - \frac{3}{4} or x > - \frac{3}{4}

Interval Notation

(- \infty, - \frac{3}{4}) \cup (- \frac{3}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{4}

The function domain

x < - \frac{3}{4} or x > - \frac{3}{4}

(- 8, - 4), (6, 5)

f (x) = 2 x^{2} - 3 x - 5

(- 3.6) (10)

f (x) = (2 x - 2) (x + 5) (x - 3) (x + 2)

What is the domain of f(x)= 1/(4x+3) ?
The domain of f(x)= 1/(4x+3) is x<-3/4 \lor x>-3/4