Find f(g(x)) f(x)=x-3 and g(x)=5x^2-2

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

Set up the composite result function.

$f (g (x))$

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

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

Subtract $3$ from $- 2$ .

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