Question

Can someone explain how to work this out please ?

Answer 1

x=4

Explanation:

f(x) = (x-2)^5 +3

Let f(x) = 35

35 = (x-2)^5 +3

Subtract 3 from each side

35-3 = (x-2)^5 +3-3

32 = (x-2)^5

Take the fifth root of each side

32 ^ (1/5) = (x-2)^5^ 1/5

2 = x-2

Add 2 to each side

2 +2 = x-2+2

4 =x