I just need help >.<

I cant solve this I just need someone to help me.

I just need help >.<

I cant solve this I just need someone to help me.

Tutors, please sign in to answer this question.

The easiest way to find the inverse of a function in my opinion is to first change the f(x) back into y and swap your x's and y's. Doing these things gives you:

x = 6y + 11. After you do this simply solve for y and your answer will be the inverse.

start by substracting 11 on both sides of the equation then divide both sides by 6. this should give you y = (x-11)/6

Inverse fucntions are symmetric with respect to line y=x. Mathematically it can be written as

f(g) = x

where g(x) is the inverse to f(x) (g = f^{-1}). But

f(g) = 6g +11 and thus 6g + 11 = x. Hence it follows g(x) = (x-11)/6

ƒ(x) = 6x + 11

y = 6x + 11 , let's solve this equation for "x"

6x = y - 11

x = (1/6) y - 11/6

Now, switch the "x" and "y"

y = (1/6) x - 11/6

In function notation:

** ƒ ^{ - 1}(x) = (1/6) x – 11/6 **

Joey A.

Math Tutor with Passion for All Sciences

Roselle Park, NJ

5.0
(41 ratings)

David T.

Very Experienced, Knowledgeable, and Patient Math Tutor

Dobbs Ferry, NY

5.0
(93 ratings)

Richard H.

Patient, Experienced College Professor works WITH you

Bronx, NY

4.7
(100 ratings)

## Comments

Agreed Xavier. Except at the very end, you should use f

^{-1}(x) = ... instead of y = ... and of course in slope intercept form you have, f-1(x) = (1/6)x - (11/6)kim

Correct. I typed the solution right before I began a session with a student so I had to speed things up a little therefore I didn't display the best use of notation.