What is the domain of f(x)=sqrt(5-3)+(x+1)/(4x-8) ?

The domain of f(x)=sqrt(5-3)+(x+1)/(4x-8) is x 2

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domain of f(x)=sqrt(5-3)+(x+1)/(4x-8)

domain

f (x) = 5 - 3 + \frac{x + 1}{4 x - 8}

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) = (x - 1) \cdot e^{- \frac{1}{x}}

f (t) = 2 t + t^{2}

f (x) = 4 x + 12 + \frac{1}{x + 2}

f (x) = 3 (x - 4)^{2} - 8

\frac{x ^{2} - 4}{x ^{2} + 4}

What is the domain of f(x)=sqrt(5-3)+(x+1)/(4x-8) ?
The domain of f(x)=sqrt(5-3)+(x+1)/(4x-8) is x<2\lor x>2