Question

MEDAL AND FAN! (:
If f(x) = 2x – 7, what is the equation for f^–1(x)?

Answer 1

Were you able to get anywhere with this one?

Answer 2

nope

Answer 3

alright I'll show you how to do this so you can apply it to others

Answer 4

okay thanks

Answer 5

Step 1) Replace f(x) with y

Step 2) Swap x and y

Step 3) Solve for y



\[\large f(x) = 2x – 7\]


\[\large y = 2x – 7\]


\[\large x = 2y – 7\]


\[\large x+7 = 2y\]


\[\large 2y = x+7\]


\[\large y = \frac{x+7}{2}\]


\[\large f^{-1}(x) = \frac{x+7}{2}\]

Answer 6

hopefully that helps and makes sense (and that you can use this on future similar problems)

Answer 7

That looks easy enough.. thanks because i have another problem just like that (:

Answer 8

ok great, hopefully you will know how to solve it