Algebra Examples

$f (x) = 12 x$ ; $g (x) = \frac{1}{12 x}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{1}{12 x})$ by substituting in the value of $g$ into $f$ .

$f (\frac{1}{12 x}) = 12 (\frac{1}{12 x})$

Step 3

Cancel the common factor of $12$ .

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Step 3.1

Factor $12$ out of $12 x$ .

$f (\frac{1}{12 x}) = 12 (\frac{1}{12 (x)})$

Step 3.2

Cancel the common factor.

$f (\frac{1}{12 x}) = 12 (\frac{1}{12 x})$

Step 3.3

Rewrite the expression.

$f (\frac{1}{12 x}) = \frac{1}{x}$