Find f(g(x)) f(x)=5x and g(x)=x/5

$f (x) = 5 x$ and $g (x) = \frac{x}{5}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (\frac{x}{5})$ by substituting in the value of $g$ into $f$ .

$f (\frac{x}{5}) = 5 (\frac{x}{5})$

Step 3

Cancel the common factor of $5$ .

Cancel the common factor.

$f (\frac{x}{5}) = 5 (\frac{x}{5})$

Rewrite the expression.

$f (\frac{x}{5}) = x$