Question

Find the inverse of the function f(x) = 2x – 4.

Answer 1

f(x) = 2x – 4
inverse
x = 2y - 4
2y = x + 4
  y = x/2 + 2

answer
inverse
f-1(x) = x/2 + 2

Answer 2

Hey there!

Your question states: Find the inverse of the function f(x) = 2x – 4

→ We need to remember that when finding the $inverse$ of a function, this would mean that we would find the complete opposite of the whole expression listed above.


$solve \ 2x-4= y \ for \ x$

Substitute $y=x$

Your correct answer would be $\boxed{ \frac{x+2}{2} }$   ✓

Hope this helps.
~Jurgen