Question

Find the inverse of the given function.
http://media.education2020.com/evresources/648-07-06-00-00_files/i0150000.jpg

Answer 1

To find the inverse of a function follow these steps:
1. Replace \(f(x) \) with y.
2. Switch x and y.
3. Solve for y.
4. Replace y with \(f^{-1}(x) \).

Answer 2

2/13x+13?

Answer 3

\( f(x) = \dfrac{13}{2} x - 13\)

1. \( y = \dfrac{13}{2} x - 13\)

2. \( x = \dfrac{13}{2} y - 13\)

3. \( x = \dfrac{13}{2} y - 13\)

\( x + 13 = \dfrac{13}{2} y \)

\( \dfrac{2}{13}(x + 13) = y \)

\(y = \dfrac{2}{13}(x + 13) \)

4. \(f^{-1}(x) = \dfrac{2}{13}(x + 13) \)

Answer 4

Don't forget the parentheses around the x + 13

Answer 5

yay!! thanks for the work! :)

Answer 6

You're welcome.