(9x - 1)² = <em>81x² - 18x + 1</em>
Answer: 64.39 dollars
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Explanation:
Before the discount, he would spend 59.99+32 = 91.99 dollars. This is before sales tax is added.
However, he gets 30% off, so he saves 0.30*91.99 = 27.597 = 27.60 dollars.
Meaning that he actually spends 91.99 - 27.60 = 64.39 dollars
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As a shortcut, we can multiply 91.99 by 0.70 to get 64.393 which rounds to 64.39
The 0.70 is due to the fact that if he saves 30%, then he still has to pay the remaining 70%
Keep in mind that sales tax would need to be added on; however, your teacher doesn't mention the sales tax rate.
![h(x)=(f\circ g)(x)\\\\h(x)=\sqrt[3]{x+3};\ f(x)=\sqrt[3]{x+2}\\\\h(x)=\sqrt[3]{x+1+2}=\sqrt[3]{(x+1)+2}=\sqrt[3]{g(x)+2}\to \boxed{g(x)=x+1}](https://tex.z-dn.net/?f=h%28x%29%3D%28f%5Ccirc%20g%29%28x%29%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B3%7D%3B%5C%20f%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B2%7D%5C%5C%5C%5Ch%28x%29%3D%5Csqrt%5B3%5D%7Bx%2B1%2B2%7D%3D%5Csqrt%5B3%5D%7B%28x%2B1%29%2B2%7D%3D%5Csqrt%5B3%5D%7Bg%28x%29%2B2%7D%5Cto%20%5Cboxed%7Bg%28x%29%3Dx%2B1%7D)
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