What is the domain of f(x)=(-3)/(5x+20)+7 ?

The domain of f(x)=(-3)/(5x+20)+7 is x -4

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domain of f(x)=(-3)/(5x+20)+7

domain

f (x) = \frac{- 3}{5 x + 20} + 7

x < - 4 or x > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

5 x + 13

5 x + 10

\frac{( 7 x + 1 ) 5 x}{10 x - 2}

ln (x - 1)

\frac{1}{( x - 3 ) ( x - 5 )}

What is the domain of f(x)=(-3)/(5x+20)+7 ?
The domain of f(x)=(-3)/(5x+20)+7 is x<-4\lor x>-4