What is the domain of (3x)/(x+7(x-2)) ?

The domain of (3x)/(x+7(x-2)) is x 7/4

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domain of (3x)/(x+7(x-2))

domain

\frac{3 x}{x + 7 ( x - 2 )}

x < \frac{7}{4} or x > \frac{7}{4}

Interval Notation

(- \infty, \frac{7}{4}) \cup (\frac{7}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{4}

The function domain

x < \frac{7}{4} or x > \frac{7}{4}

f (x) = \frac{3 - x ^{2}}{x ^{2} + 2 x - 15}

f (x) = 2^{x}

f (x) = - 5 x - 7

(1, - 2), (3, - 1)

f (x) = \frac{2 x ^{2} - 2 x - 1}{5 x ^{2}}

What is the domain of (3x)/(x+7(x-2)) ?
The domain of (3x)/(x+7(x-2)) is x< 7/4 \lor x> 7/4