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

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

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domain of f(x)= 5/(-x+5)

domain

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

x < 5 or x > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

f (x) = x^{2} - 9, x \geq 3

f (x) = 2 x + 2 x

f (x) = \frac{( 2 x - 5 )}{( x ^{2} - 3 x )}

\frac{4 x}{e ^{4 x}}

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