How do you find the inverse of f(x)=2x7x?

1 Answer
Oct 23, 2015

f1(x)=7x2x

Explanation:

First, change the term f(x) to y

Then, switch the x and y values. You should get
x=2y7y

Next solve for Y
-multiply x on the left side by (7y) to get rid of the denominator, you should get
7xyx=2y

  • add yx to both sides in order to get all the Ys on the same side
    -7x=2y+yx

  • factor out the y value from the right side
    -7x=y(2+x)

  • divide both sides by (2+x)
    7x2x=y

Lastly change the term y to f1(x) [f inverse of x]
f1(x)=7x2x