SOLUTION: use the composition of functions to show that f^-1 is as given. f(x)=1/2x-3, f^-1(x)=2(x+3) Please show your work

Algebra ->  Trigonometry-basics -> SOLUTION: use the composition of functions to show that f^-1 is as given. f(x)=1/2x-3, f^-1(x)=2(x+3) Please show your work      Log On


   

Question 1139527: use the composition of functions to show that f^-1 is as given.
f(x)=1/2x-3, f^-1(x)=2(x+3)
Please show your work
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Maybe functions are these:
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f(x)=(1/2)x-3, f^-1(x)=2(x+3)
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You can form the compositions yourself.

%281%2F2%29%282%28x%2B3%29%29-3=what

and

2%28%28%281%2F2%29%28x-3%29%29%2B3%29=what

Simplify each expression. WHAT is found?