What is the domain of f(x)= r/((r-3)^2)*(r^2-9)/(2r) ?

The domain of f(x)= r/((r-3)^2)*(r^2-9)/(2r) is r 3

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domain of f(x)= r/((r-3)^2)*(r^2-9)/(2r)

domain

f (x) = \frac{r}{( r - 3 ) ^{2}} \cdot \frac{r ^{2} - 9}{2 r}

r < 0 or 0 < r < 3 or r > 3

Interval Notation

(- \infty, 0) \cup (0, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

r = 3, r = 0

The function domain

r < 0 or 0 < r < 3 or r > 3

cr i t i c a l f (x) = (x - 2) e^{x}

in v erse f (x) = - (x - 3)^{2} + 1

l in e (1, 1), (4, - 1)

d o main f (x) = - 5 x + 6

f (x) = 2 x - 5

What is the domain of f(x)= r/((r-3)^2)*(r^2-9)/(2r) ?
The domain of f(x)= r/((r-3)^2)*(r^2-9)/(2r) is r<0\lor 0<r<3\lor r>3