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What's the inverse of f(x)=(x+3)^5

User Rodalm
by
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2 Answers

5 votes

Explanation:

f(x)=(x+3)×5

Y=5X+15

now

interxchanging x and y we get,

x=5y+15

5y=x-15

y=x-15/5

therefor f~1(x)=x-15/5

User Joshtkling
by
8.2k points
3 votes

Answer:

The inverse is,


f^(-1)(x) = \sqrt[5]{x} - 3

Explanation:

f(x) = (x+3)^5

Finding the inverse,


f(x) = (x+3)^5\\or,\\y = (x+3)^5

We replace x with y and vice versa

so,


x = (y+3)^5

Solving for y,

the the 5th root,


\sqrt[5]{x} = y + 3\\y = \sqrt[5]{x} - 3

hence the inverse function is,


f^(-1)(x) = \sqrt[5]{x} - 3

User Tiwo
by
7.2k points

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