How do you find the inverse of f(x) = 5x+2?

1 Answer
Nov 2, 2017

Answer: f^(-1)(x)=(x-2)/5

Explanation:

Find the inverse of f(x)=5x+2

Note that the inverse of a function can be found by flipping the x and y variables and solving for y. In this case, we can treat the f(x) as a y, therefore:
y=5x+2

Flipping the x and y variables, we have:
x=5y+2

Solving for y:
x=5y+2
x-2=5y
y=(x-2)/5 or f^(-1)(x)=(x-2)/5 for inverse notation