What is the domain of f(x)=(4+7x)/(x-1) ?

The domain of f(x)=(4+7x)/(x-1) is x 1

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domain of f(x)=(4+7x)/(x-1)

domain

f (x) = \frac{4 + 7 x}{x - 1}

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = lo g_{10} (9 x^{2} + 30 x + 29)

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

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

f (x) = lo g_{e} (x^{2} - 1)

\frac{x}{x ^{2} + 2 x - 3}

What is the domain of f(x)=(4+7x)/(x-1) ?
The domain of f(x)=(4+7x)/(x-1) is x<1\lor x>1