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Mathematics, 04.02.2021 02:30 gegrgrkj

Someone check my work, please :) Find the inverse:

My work:

However, the answer sheet says the answer is f^{-1}(x)=\sqrt{\frac{2x+8}{3} }. I did notice that if you multiply each number by 2 you get the numbers given in the answers:

Thanks :)


f(x)=1.5x^2-4
y=1.5x^2-4\\\\x=1.5y^2-4\\\\x+4=1.5y^2\\\\\frac{x+4}{1.5} =y^2\\\\y=\sqrt{\frac{x+4}{1.5} } \\\\f^{-1}(x)=y=\sqrt{\frac{x+4}{1.5} }
1*2=2\\\\4*2=8\\\\1.5*2=3

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Someone check my work, please :) Find the inverse:


My work:


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