Question

Let f(x)=x^5+3x-2. Then the inverse of f(x) (2) equals
a) 1/83 b)1/8 c) 1 d)8 e)83
Please provide a detailed explanation

Answer 1

Do you know how to find the inverse of a function?

Answer 2

Yes, I do but I keep getting the answer of a) 1/83 and my teacher said the correct answer is e)83

Answer 3

Can you show me your working?

Answer 4

x= y^5 +3y-2
* take derivative
x=5y^4 + 3
1/5(2)^4 + 3= 1/83 because after you take the derivative of your inverse I was told you put in under 1

Answer 5

Umm. I don't get this working.

Answer 6

The derivative will be 5y^4 + 3.

Answer 7

okay

Answer 8

But idk how to find inverse using derivates.

Answer 9

derivatives*