Algebra Examples

$f (x) = \frac{1}{4 x}$ $g (x) = \frac{1}{4 x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\frac{1}{4 x})$ by substituting in the value of $f$ into $g$ .

$g (\frac{1}{4 x}) = \frac{1}{4 (\frac{1}{4 x})}$

Step 3

Combine $4$ and $\frac{1}{4 x}$ .

$g (\frac{1}{4 x}) = \frac{1}{\frac{4}{4 x}}$

Step 4

Reduce the expression $\frac{4}{4 x}$ by cancelling the common factors.

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Step 4.1

Cancel the common factor.

$g (\frac{1}{4 x}) = \frac{1}{\frac{4}{4 x}}$

Step 4.2

Rewrite the expression.

$g (\frac{1}{4 x}) = \frac{1}{\frac{1}{x}}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$g (\frac{1}{4 x}) = 1 x$

Step 6

Multiply $x$ by $1$ .

$g (\frac{1}{4 x}) = x$