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

The domain of f(x)=((x-2)+(x-1))/((x-2)+x-1) is x 3/2

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

domain

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

x < \frac{3}{2} or x > \frac{3}{2}

Interval Notation

(- \infty, \frac{3}{2}) \cup (\frac{3}{2}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{2}

The function domain

x < \frac{3}{2} or x > \frac{3}{2}

e^{\frac{- 1}{x ^{2}}}

f (x) = x^{2} + 2 x y + y^{2} + 2 x - 2 y - 1 = 0

\frac{2 x ^{2}}{x ^{2}} + \frac{7 x}{10 x} + \frac{15}{7}

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

f (x) = \frac{1}{7 - x}

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