Question
Show that $x^{\frac{1}{\Psi}}\left(y^{\frac{\psi-1}{\psi}}-x^{\frac{\psi-1}{\psi}}\right)$ can be simplified to $x\left[\left(\frac{y}{x}\right)^{\frac{\psi-1}{\psi}}-1\right]$.
Step 1
First, we can factor out $x^{\frac{\psi-1}{\psi}}$ from the expression inside the parentheses: $x^{\frac{1}{\Psi}}\left(y^{\frac{\psi-1}{\psi}}-x^{\frac{\psi-1}{\psi}}\right) = Show more…
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$$ \text { Find } \phi(\psi(x)) \text { and } \psi(\phi(x)) \text { if } \phi(x)=x^{2}+1 \text { and } \psi(x)=3^{x} \text { . } $$
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