What is the domain of y=(7x+2)/(2x+9) ?

The domain of y=(7x+2)/(2x+9) is x -9/2

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domain of y=(7x+2)/(2x+9)

domain

y = \frac{7 x + 2}{2 x + 9}

x < - \frac{9}{2} or x > - \frac{9}{2}

Interval Notation

(- \infty, - \frac{9}{2}) \cup (- \frac{9}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{9}{2}

The function domain

x < - \frac{9}{2} or x > - \frac{9}{2}

f (x) = 1 - 2 x - 3

- x^{2} + 6 x - 7

f (x) = \frac{1}{- x ^{2} + 8 x}

lo g_{5} (x + 2)

y = arccos (\frac{- x}{2}) + \frac{π}{2}

What is the domain of y=(7x+2)/(2x+9) ?
The domain of y=(7x+2)/(2x+9) is x<-9/2 \lor x>-9/2