Question

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

Answer 1

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

Answer 2

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`