What is the domain of (-3x-32)/(8x+45) ?

The domain of (-3x-32)/(8x+45) is x -45/8

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domain of (-3x-32)/(8x+45)

domain

\frac{- 3 x - 32}{8 x + 45}

x < - \frac{45}{8} or x > - \frac{45}{8}

Interval Notation

(- \infty, - \frac{45}{8}) \cup (- \frac{45}{8}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{45}{8}

The function domain

x < - \frac{45}{8} or x > - \frac{45}{8}

\frac{x ^{2} - 49}{x ^{2} - 3 x + 2}

f (x) = x^{2} (108 - 4 x)

f (x) = (x - 5)^{2} + 4

f (x) = x^{3} - 4

\frac{1}{2} x + 2

What is the domain of (-3x-32)/(8x+45) ?
The domain of (-3x-32)/(8x+45) is x<-45/8 \lor x>-45/8