g(x)=x^2-8 h(x)=x^2+7 find g(h(x)) and h(g(x))
You asked:
Given \( g\left( x \right) = {x}^{2} - 8 \), \( h\left( x \right) = {x}^{2} + 7 \), evaluate \( g\left( h\left( x \right) \right) \), \( h\left( g\left( x \right) \right) \).
MathBot Answer:
$$\begin{aligned}g\left( h\left( x \right) \right)&=x^{4} + 14 x^{2} + 41\\h\left( g\left( x \right) \right)&=x^{4} - 16 x^{2} + 71\end{aligned}$$