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MrRa [10]
3 years ago
5

Find the inverse of g(x) = 3x^2 - 5

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0

Answer:

\boxed{\sf \ \ \ g^{-1}(x)=\sqrt{\dfrac{x+5}{3}} \ \ \ }

Step-by-step explanation:

Hello,

x=(gog^{-1})(x)=g(g^{-1}(x))=3(g^{-1}(x))^2-5\\\\3(g^{-1}(x))^2 = x+5\\\\\\ (g^{-1}(x))^2=\dfrac{x+5}{3}\\g^{-1}(x)=\sqrt{\dfrac{x+5}{3}}

hope this helps

den301095 [7]3 years ago
6 0

Answer: i think its -3x^2 + 5

Step-by-step explanation:

inverses are when you switch the negates, so i'm assuming you switch them.

sorry if i am wrong !

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To find:

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Solution:

We have,

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Step 2: Interchange x and y.

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Step 4: Substitute y=g(x).

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