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

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

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

domain

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

y < 2 or y > 2

Interval Notation

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

Solution steps

Find undefined (singularity) points:

y = 2

The function domain

y < 2 or y > 2

f (x) = 5 x^{2} + 9

f (x) = \frac{( 4 x ^{2} - 4 x - 1 )}{3 x - 3}

\frac{2}{x}

(- 2, 3), (2, 2)

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

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