Precalculus Examples

$f (x) = \ln (x)$ , $g (x) = e^{5 x}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (\ln (x))$ by substituting in the value of $f$ into $g$ .

$g (\ln (x)) = e^{5 (\ln (x))}$

Step 3

Simplify $5 (\ln (x))$ by moving $5$ inside the logarithm.

$g (\ln (x)) = e^{\ln (x^{5})}$

Step 4

Exponentiation and log are inverse functions.

$g (\ln (x)) = x^{5}$