domain of f(x)=(10x+7)/(7x-4) — step-by-step solution

We save the definition:

f (x) = \frac{10 x + 7}{7 x - 4}

Let's evaluate the domain of

\frac{10 x + 7}{7 x - 4}

For the expression

\frac{10 x + 7}{7 x - 4}

to exist, you must check:

7 x - 4 \neq 0

ⓘ We add

4

to both sides

7 x \neq 4

ⓘ Both sides are divided by

7

▶Domain of definition:

x \neq \frac{4}{7}

The numeric value of:

x \neq \frac{4}{7}

equals:

▷

x \neq 0.5714 (approximate value)