What is the domain of f(x)=((2x+3))/((x-4)) ?

The domain of f(x)=((2x+3))/((x-4)) is x 4

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domain of f(x)=((2x+3))/((x-4))

domain

f (x) = \frac{( 2 x + 3 )}{( x - 4 )}

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 + ln (x)

2 x^{3} + x^{2} - 3 x + 1

y = x + 7

(- 1, 2), (1, 6)

4 x - 5 y = 25

What is the domain of f(x)=((2x+3))/((x-4)) ?
The domain of f(x)=((2x+3))/((x-4)) is x<4\lor x>4