Use algebra to find the inverse of the function f(x)=3x^5+7
1 answer:
Answer:
The inverse of the function is
Step-by-step explanation:
The steps to get the inverse of a function are:
- Replace f(x) with y
- Replace every x by y and every y by x
- Solve the new equation from for y
- Replace y with
∵ 
- Replace f(x) by y
∴ 
- Replace every x by y and every y by x
∴ 
- Subtract 7 from both sides
∴ 
- Divide both sides by 3
∴ 
- Insert fifth root for both sides
∴
- Switch the two sides
∴
- replace y by 
∴ ![f^{-1}(x) =\sqrt[5]{\frac{x-7}{3}}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%5Csqrt%5B5%5D%7B%5Cfrac%7Bx-7%7D%7B3%7D%7D)
The inverse of the function is
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Step-by-step explanation:
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