Question

Which represents the inverse of the function f(x) = 4x?

Answer 1

Answer: f(x)=1/4x

Step-by-step:
f(x)=4x
y=4x (replace f(x) with y)
x=4y (switch x and y)
1/4x=y (solve for y by dividing by 4)
y=1/4x
f^-1(x)=1/4x (put the solution back into the function)

hope this helps! :)

Answer 2

`{ \tt{let \: inverse \: be \: m }} \\ m = (1)/(4x) \\ x = (1)/(4m) \\ { \bf{f {}^( - 1) (x) = (1)/(4x) }}`