What is the domain of ((1))/((-10(\frac{(1)){(-5x-6)})+3)} ?

The domain of ((1))/((-10(\frac{(1)){(-5x-6)})+3)} is x -6/5

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domain of ((1))/((-10(\frac{(1)){(-5x-6)})+3)}

domain

\frac{( 1 )}{( - 10 ( \frac{( 1 )}{( - 5 x - 6 )} ) + 3 )}

x < - \frac{28}{15} or - \frac{28}{15} < x < - \frac{6}{5} or x > - \frac{6}{5}

Interval Notation

(- \infty, - \frac{28}{15}) \cup (- \frac{28}{15}, - \frac{6}{5}) \cup (- \frac{6}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{28}{15}, x = - \frac{6}{5}

The function domain

x < - \frac{28}{15} or - \frac{28}{15} < x < - \frac{6}{5} or x > - \frac{6}{5}

3 x^{2}

(- 4) (6)

\frac{1 - 4 t}{3 + t}

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

x^{4} - 3 x^{2}

What is the domain of ((1))/((-10(\frac{(1)){(-5x-6)})+3)} ?
The domain of ((1))/((-10(\frac{(1)){(-5x-6)})+3)} is x<-28/15 \lor-28/15 <x<-6/5 \lor x>-6/5