What is the domain of f(x)=(3+4x)/(x-1) ?

The domain of f(x)=(3+4x)/(x-1) is x 1

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domain of f(x)=(3+4x)/(x-1)

domain

f (x) = \frac{3 + 4 x}{x - 1}

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

f (x) = x^{2} - 9, x \geq 0

f (x) = x^{4} - 4 x^{3} + 3

y = - \frac{3}{4} x

f (x) = 8 x^{3} + 1

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

What is the domain of f(x)=(3+4x)/(x-1) ?
The domain of f(x)=(3+4x)/(x-1) is x<1\lor x>1