Find f(g(x)) f(x)=1/(4x) g(x)=1/(4x)

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

Set up the composite result function.

$f (g (x))$

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

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Multiply the numerator by the reciprocal of the denominator.

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

Multiply $x$ by $1$ .

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