domain of f(x)=(1-6x)/(1+7x) — step-by-step solution

We save the definition:

f (x) = \frac{1 - 6 x}{1 + 7 x}

Let's find the domain of

\frac{1 - 6 x}{1 + 7 x}

For the expression

\frac{1 - 6 x}{1 + 7 x}

to be defined, we must have:

1 + 7 x \neq 0

ⓘ We subtract

1

from both sides

7 x \neq -1

ⓘ Both sides are divided by

7

▶Domain of definition:

x \neq - \frac{1}{7}

The numeric value of:

x \neq - \frac{1}{7}

equals:

▷

x \neq -0.1429 (approximate value)