Precalculus Examples

If $f (x) = x - 1$ and $g (x) = 5 x - 2$ ; then $(\frac{f}{g}) (x)$

Step 1

Replace the function designators in $\frac{f}{g}$ with the actual functions.

$\frac{x - 1}{5 x - 2}$

Step 2

Evaluate $\frac{f}{g}$ at $x$ .

$\frac{(x) - 1}{5 (x) - 2}$

Step 3

Simplify $\frac{(x) - 1}{5 (x) - 2}$ .

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Step 3.1

Remove parentheses.

$\frac{(x) - 1}{5 (x) - 2}$

Step 3.2

Multiply $5$ by $x$ .

$\frac{x - 1}{5 x - 2}$