Answer:
f^-1(x) = (x - 2)/4 ⇒ 1st answer
Step-by-step explanation:
* Lets revise how to find the inverse function
- At first write the function as y = f(x)
- Then switch x and y
- Then solve for y
- The domain of f(x) will be the range of f^-1(x)
- The range of f(x) will be the domain of f^-1(x)
* Now lets solve the problem
∵ f(x) = 4x + 2
∴ y = 4x + 2 ⇒ switch x and y
∴ x = 4y + 2 ⇒ subtract 2 from both sides
∴ x - 2 = 4y ⇒ ÷ 4 both sides
∴ (x - 2)/4 = y
∴ f^-1(x) = (x - 2)/4
* f^-1(x) = (x - 2)/4
