Find f(g(x)) f(x)=x-1 ; g(x)=5x^2

$f (x) = x - 1$ ; $g (x) = 5 x^{2}$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (5 x^{2}) = (5 x^{2}) - 1$

Step 3

Remove parentheses.

$f (5 x^{2}) = 5 x^{2} - 1$