What is the domain of (-8x-14)/(-8x^2-61x+24) ?

The domain of (-8x-14)/(-8x^2-61x+24) is x 3/8

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domain of (-8x-14)/(-8x^2-61x+24)

domain

\frac{- 8 x - 14}{- 8 x ^{2} - 61 x + 24}

x < - 8 or - 8 < x < \frac{3}{8} or x > \frac{3}{8}

Interval Notation

(- \infty, - 8) \cup (- 8, \frac{3}{8}) \cup (\frac{3}{8}, \infty)

Solution steps

Find undefined (singularity) points:

x = - 8, x = \frac{3}{8}

The function domain

x < - 8 or - 8 < x < \frac{3}{8} or x > \frac{3}{8}

f (x) = - 2 x^{2} + 60 x

\frac{x - 1}{( x - 1 ) ( x + 2 )}

f (x) = - 3 cos (\frac{7}{12} π x) + 6

\frac{x - 2}{3} + 1

10 x + 52

What is the domain of (-8x-14)/(-8x^2-61x+24) ?
The domain of (-8x-14)/(-8x^2-61x+24) is x<-8\lor-8<x< 3/8 \lor x> 3/8