What is the domain of (2x-5)/(7x+4) ?

The domain of (2x-5)/(7x+4) is x -4/7

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domain of (2x-5)/(7x+4)

domain

\frac{2 x - 5}{7 x + 4}

x < - \frac{4}{7} or x > - \frac{4}{7}

Interval Notation

(- \infty, - \frac{4}{7}) \cup (- \frac{4}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{4}{7}

The function domain

x < - \frac{4}{7} or x > - \frac{4}{7}

d o main lo g_{3} (x)

cr i t i c a l y = x^{3} - 12 x

d o main 3 x - 5

d i s t an ce (11, - 2), (2, - 3)

r an g e f (x) = 2 x^{2} - 5 x + 1

What is the domain of (2x-5)/(7x+4) ?
The domain of (2x-5)/(7x+4) is x<-4/7 \lor x>-4/7