Question

Assume f(x): x+2/3 find Find f-¹(4).

10
2
1/2
1


(the / represents fraction)

Answer 1

Explanation:

To find the inverse of a function, we need to switch the variables x and y and solve for the new variable.

Given f(x) = x + 2/3, we can write the inverse as f^-1(y) = x.

So we will replace y with 4 in the inverse function f^-1(y) = x and solve for x.

f^-1(4) = x

x + 2/3 = 4

x = 4 - 2/3

x = 8/3

Therefore, f^-1(4) = 8/3