Algebra Examples

$f (x) = \ln (X)$ , $g (x) = e^{7 x}$ , $h (x) = x^{8}$

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 $g$ .

$g (\ln (X)) = e^{7 (\ln (X))}$

Step 3

Simplify $7 (\ln (X))$ by moving $7$ inside the logarithm.

$g (\ln (X)) = e^{\ln (X^{7})}$

Step 4

Exponentiation and log are inverse functions.

$g (\ln (X)) = X^{7}$