Question

find f with an exponent of -1 for f(x)= -3x+4

Answer 1

this means the inverse function yes?

Answer 2

your function says multiply by -3 then add 4. your inverse will say subtract 4 then divide by -3 it is written as
\[f^{-x}(x)=\frac{x-4}{-3}\]

Answer 3

or you can write
\[y=-3x+4\] switch x and y to get
\[x=-3y+4\] and solve for x
you get
\[x-4=-3y\]
\[\frac{x-4}{-3}=y\] so
\[f^{-1}(x)=\frac{x-4}{-3}=\frac{4-x}{3}\]

Answer 4

sorry, i am writing to make sure i got it

Answer 5

this is exactly the same as saying
\[-3x+4=13\] solve for x. what would you do? subtract 4, divide by -3. that is what the inverse function accomplishes

Answer 6

wow! so 4-x/3 is the answer