What is the domain of f(x)=((4x+7)-4)/((4x+7)+1) ?

The domain of f(x)=((4x+7)-4)/((4x+7)+1) is x -2

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domain of f(x)=((4x+7)-4)/((4x+7)+1)

domain

f (x) = \frac{( 4 x + 7 ) - 4}{( 4 x + 7 ) + 1}

x < - 2 or x > - 2

Interval Notation

(- \infty, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2

The function domain

x < - 2 or x > - 2

arcsin (4 x)

f (x) = - \frac{12}{x + 4}

- 5 x^{2} - 30 x - 42

f (x) = \frac{4}{x - 9}

x^{2} + 4 x - 2

What is the domain of f(x)=((4x+7)-4)/((4x+7)+1) ?
The domain of f(x)=((4x+7)-4)/((4x+7)+1) is x<-2\lor x>-2