SOLUTION: this is on pg 386 #14 if f(x)= -2x+7, find the inverse of f i'm not sure how to do this

Question 75969This question is from textbook College Algebra
: this is on pg 386 #14
if f(x)= -2x+7, find the inverse of f
i'm not sure how to do this This question is from textbook College Algebra

Answer by 303795(602) (Show Source): You can put this solution on YOUR website!
The inverse function uses f(x) to find x.
f(x)= -2x+7
Rearrange the function to isolate x. Firstly subtract 7 from each side.
f(x)-7 = -2x+7-7
f(x)-7 = -2x
Now divide each side by -2
(f(x)-7)/-2 = -2x/-2
(f(x)-7)/-2 = x
x=(f(x)-7)/-2
This could be rearranged to give the following if you preferred.
x=(7-f(x))/2
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