Algebra Examples

$f (x) = x - 3$ and $g (x) = 5 x^{2} - 3$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (5 x^{2} - 3)$ by substituting in the value of $g$ into $f$ .

$f (5 x^{2} - 3) = (5 x^{2} - 3) - 3$

Step 3

Subtract $3$ from $- 3$ .

$f (5 x^{2} - 3) = 5 x^{2} - 6$