What is the domain of y=10+(10)/(4x+12) ?

The domain of y=10+(10)/(4x+12) is x -3

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domain of y=10+(10)/(4x+12)

domain

y = 10 + \frac{10}{4 x + 12}

x < - 3 or x > - 3

Interval Notation

(- \infty, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3

The function domain

x < - 3 or x > - 3

f (x) = 3 x + 8

f (x) = 3 (x - 4)

f (x) = 6 x + 6

x^{2} + 4 x

y = 4 x^{2} + 2

What is the domain of y=10+(10)/(4x+12) ?
The domain of y=10+(10)/(4x+12) is x<-3\lor x>-3