## Algebra 2 Common Core

$(g\circ f)(x)=x^4-10x^2+22$
Recall: $(g \circ f)(x) = g\left(f(x)\right)$ Use the definition above to obtain: \begin{align*} (g\circ f)(x)&=(5-x^2)^2-3\\ &=25-10x^2+x^4-3\\ &=x^4-10x^2+22 \end{align*}