Precalculus Examples

$f (\frac{2}{9})$ if $f (x) = 3 x + \frac{1}{3}$

Step 1

Replace the variable $x$ with $\frac{2}{9}$ in the expression.

$f (\frac{2}{9}) = 3 (\frac{2}{9}) + \frac{1}{3}$

Step 2

Simplify $3 (\frac{2}{9}) + \frac{1}{3}$ .

Tap for more steps...

Step 2.1

Remove parentheses.

$3 (\frac{2}{9}) + \frac{1}{3}$

Step 2.2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.2.1

Factor $3$ out of $9$ .

$3 \frac{2}{3 (3)} + \frac{1}{3}$

Step 2.2.2

Cancel the common factor.

$3 \frac{2}{3 \cdot 3} + \frac{1}{3}$

Step 2.2.3

Rewrite the expression.

$\frac{2}{3} + \frac{1}{3}$

Step 2.3

Combine the numerators over the common denominator.

$\frac{2 + 1}{3}$

Step 2.4

Simplify the expression.

Tap for more steps...

Step 2.4.1

Add $2$ and $1$ .

$\frac{3}{3}$

Step 2.4.2

Divide $3$ by $3$ .

$1$