Which function below is the inverse of f(x)= 7x-1/2

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given the function:

f(x) = 7x - ½

Find the inverse of the function:

Solution.

In order to find the inverse of the function, simply equate the solution with y, then change the position of x with y.

y= 7x -½

x=7y- ½

Transpose  -½ on the other side of the equation. Note that when transposing a number, the sign changes.

x=7y- ½

x + ½ =7y

Divide both sides by 7 in order to get the value of the inverse function.

y=( x + ½)/7