Question

If f(x) = (x-4)2 + 5 a)Find f-1 (x)

Answer 1

`f^(-1)(x) = (x+3)/(2)`

Explanation:

To find the inverse of a function, first you rewrite the function using "y" and set it equal to x.

f(x) = 2(x-4) + 5

x = 2(y-4) + 5

Next, we rearrange and solve for y.

x = 2y - 8 + 5

x = 2y - 3

x + 3 = 2y

(x+3)/2 = y

Therefore, f-1(x) is equal to (x+3)/2