What is the domain of f(x)=-1/((x-2)^2) ?

The domain of f(x)=-1/((x-2)^2) is x 2

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domain of f(x)=-1/((x-2)^2)

domain

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

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = \frac{x ^{2} - 10 x - 56}{2 x ^{2} + 8 x}

f (t) = t + 2

f (x) = \frac{6 x}{5 x - 2}

f (x) = \frac{( 12 - x - x ^{2} )}{x + 2}

f (x) = - 3 x^{2} + 6 x + 1

What is the domain of f(x)=-1/((x-2)^2) ?
The domain of f(x)=-1/((x-2)^2) is x<2\lor x>2