What is the domain of ((5x+4)(x+1))/((2x+1)(3x+5)) ?

The domain of ((5x+4)(x+1))/((2x+1)(3x+5)) is x -1/2

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domain of ((5x+4)(x+1))/((2x+1)(3x+5))

domain

\frac{( 5 x + 4 ) ( x + 1 )}{( 2 x + 1 ) ( 3 x + 5 )}

x < - \frac{5}{3} or - \frac{5}{3} < x < - \frac{1}{2} or x > - \frac{1}{2}

Interval Notation

(- \infty, - \frac{5}{3}) \cup (- \frac{5}{3}, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}, x = - \frac{5}{3}

The function domain

x < - \frac{5}{3} or - \frac{5}{3} < x < - \frac{1}{2} or x > - \frac{1}{2}

f (x) = lo g_{3} ((1 + y)^{2}) = 2

f (x) = 2 tan (3 t - π)

f (x) = 6 x + 14

y = \frac{x - 3}{x - 2}

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

What is the domain of ((5x+4)(x+1))/((2x+1)(3x+5)) ?
The domain of ((5x+4)(x+1))/((2x+1)(3x+5)) is x<-5/3 \lor-5/3 <x<-1/2 \lor x>-1/2