Trigonometry Examples

$f (x) = \log (x - \frac{3}{7})$

Step 1

Set the argument in $\log (x - \frac{3}{7})$ greater than $0$ to find where the expression is defined.

$x - \frac{3}{7} > 0$

Step 2

Add $\frac{3}{7}$ to both sides of the inequality.

$x > \frac{3}{7}$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(\frac{3}{7}, \infty)$

Set-Builder Notation:

${x | x > \frac{3}{7}}$

Step 4