domain of f(x)=sqrt(4x-20) — step-by-step solution

We save the definition:

f (x) = \sqrt{4 x - 20}

Let's find the domain of

\sqrt{4 x - 20}

For the expression

\sqrt{4 x - 20}

to be defined, we must have:

4 x - 20 \geq 0

ⓘ We add

20

to both sides

4 x \geq 20

ⓘ Both sides are divided by

4

x \geq \frac{20}{4}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

4

, their greatest common divisor:

\frac{20}{4}

5

▶Domain of definition:

x \geq 5