Solution Bank Rational Exponents & Radicals Target C
Answers to the Extended Problems are below in random order.
\(
\begin{align}
&196x^2+126x+14 \hspace{10mm} &&9x^{\frac{8}{27}}= g\left(f\left(x\right)\right)\\
&\left(f+g\right)\left(x\right)=4x^{\frac{4}{5}} \text{and} \left(f-g\right)\left(x\right)=10x^{\frac{4}{5}} &&\left(f\cdot g\right)\left(x\right)=75x^{\frac{11}{12}}\\
&48x^{\frac{10}{21}} &&14x^2+42x-53\\
&f\left(g\left(\frac{\sqrt{2}}{2}\right)\right) = 21\sqrt{2}-46 &&\text{Undefined}, \frac{-80}{9}
\end{align}
\)
Answers to the Extended Problems are below in random order.
\(
\begin{align}
&196x^2+126x+14 \hspace{10mm} &&9x^{\frac{8}{27}}= g\left(f\left(x\right)\right)\\
&\left(f+g\right)\left(x\right)=4x^{\frac{4}{5}} \text{and} \left(f-g\right)\left(x\right)=10x^{\frac{4}{5}} &&\left(f\cdot g\right)\left(x\right)=75x^{\frac{11}{12}}\\
&48x^{\frac{10}{21}} &&14x^2+42x-53\\
&f\left(g\left(\frac{\sqrt{2}}{2}\right)\right) = 21\sqrt{2}-46 &&\text{Undefined}, \frac{-80}{9}
\end{align}
\)