SOLUTION: Confirm that f and g are inverses by showing the Composition of Inverses Rule for both f(g(x)) and g(f(x)) algebraically: f(x)=9x+3 g(x)= (x-3)/9

Algebra ->  Rational-functions -> SOLUTION: Confirm that f and g are inverses by showing the Composition of Inverses Rule for both f(g(x)) and g(f(x)) algebraically: f(x)=9x+3 g(x)= (x-3)/9      Log On


   

Question 1123360: Confirm that f and g are inverses by showing the Composition of Inverses Rule for both f(g(x)) and g(f(x)) algebraically:
f(x)=9x+3
g(x)= (x-3)/9
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
h%28x%29=mx%2Bb
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Let i(x) and h(x) be inverses.
system%28h%28i%28x%29%29=x%2Ci%28h%28x%29%29=x%29

m%2Ai%28x%29%2Bb=x

m%2Ai%28x%29=x-b

i%28x%29=%28x-b%29%2Fm