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

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

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

domain

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

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

- sin (\frac{1}{3} x) - 2

y = - \frac{3}{5} x + \frac{7}{5}

f (x) = x 5 - x

f (x) = 8 x^{3}

x^{4} - x^{2}

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