What is the domain of (7x+9)/(6x+5)+(5x+1)/(6x+5) ?

The domain of (7x+9)/(6x+5)+(5x+1)/(6x+5) is x -5/6

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domain of (7x+9)/(6x+5)+(5x+1)/(6x+5)

domain

\frac{7 x + 9}{6 x + 5} + \frac{5 x + 1}{6 x + 5}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{5}{6}

The function domain

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

f (x) = x^{2} + \frac{54}{x}

y = 2 - 3 x

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

(2.1) (- 3.6)

6 y - 8 x = 54

What is the domain of (7x+9)/(6x+5)+(5x+1)/(6x+5) ?
The domain of (7x+9)/(6x+5)+(5x+1)/(6x+5) is x<-5/6 \lor x>-5/6