What is the domain of f(x)=(3x-4)/((2x+3)(4x+3)) ?

The domain of f(x)=(3x-4)/((2x+3)(4x+3)) is x -3/4

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domain of f(x)=(3x-4)/((2x+3)(4x+3))

domain

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

x < - \frac{3}{2} or - \frac{3}{2} < x < - \frac{3}{4} or x > - \frac{3}{4}

Interval Notation

(- \infty, - \frac{3}{2}) \cup (- \frac{3}{2}, - \frac{3}{4}) \cup (- \frac{3}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{3}{2}, x = - \frac{3}{4}

The function domain

x < - \frac{3}{2} or - \frac{3}{2} < x < - \frac{3}{4} or x > - \frac{3}{4}

f (x) = \frac{7}{x - 6}

ln (2 + e^{x - 3})

\frac{4 z}{z ^{2} - 9}

2 (x + 1)^{2} - 2

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

What is the domain of f(x)=(3x-4)/((2x+3)(4x+3)) ?
The domain of f(x)=(3x-4)/((2x+3)(4x+3)) is x<-3/2 \lor-3/2 <x<-3/4 \lor x>-3/4