how do i solve this problem?

Find the linear function f with x-intercept 6 and f -1 (-8) = -3.

i don't know how to do this at all.

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- Aug 28th 2010, 09:31 AMFinalFantasy9291linear functions and their inverse.
how do i solve this problem?

Find the linear function f with x-intercept 6 and f -1 (-8) = -3.

i don't know how to do this at all. - Aug 28th 2010, 09:35 AMHallsofIvy
Are you in a course where you are expected to be able to do that? If so, do you know what a "linear function" is? Do you know any formulas for linear functions?

- Aug 28th 2010, 09:37 AMFinalFantasy9291
y=mx+b?

- Aug 28th 2010, 02:09 PMmr fantastic
Now use the given information, "with x-intercept 6" to get an equation with m and b in it. Call this equation (1).

Do you know anything about inverse functions? If so, then you should know that if (-8, -3) lies on the graph of $\displaystyle y = f^{-1}(x)$, then (-3, -8) lies on the graph of y = f(x). Use this to get another equation with m and b in it. call this equation (2).

Now solve equations (1) and (2) simultaneously for m and b. - Aug 29th 2010, 02:43 PMHallsofIvy