What is the domain of f(x)=(4x-1-2)/(4x-1+5) ?

The domain of f(x)=(4x-1-2)/(4x-1+5) is x -1

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domain of f(x)=(4x-1-2)/(4x-1+5)

domain

f (x) = \frac{4 x - 1 - 2}{4 x - 1 + 5}

x < - 1 or x > - 1

Interval Notation

(- \infty, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

(x - 3)^{2}, x \geq 3

f (x) = {x + 1, x < 1}

f (x) = 4 - x^{2} + 1 - x^{2}

e^{x + 2} - 5

f (x) = \frac{2 x}{x ^{2} - 7 x + 10}

What is the domain of f(x)=(4x-1-2)/(4x-1+5) ?
The domain of f(x)=(4x-1-2)/(4x-1+5) is x<-1\lor x>-1