SOLUTION: Use composition of functions to show that the functions f(x) = 5x � 2 and g(x) = (x+2)/5 are inverse functions. That is, show that (f of g)(x)=x and show that (g of f)(x) =x I

Question 192113: Use composition of functions to show that the functions f(x) = 5x � 2 and g(x) = (x+2)/5 are inverse functions. That is, show that (f of g)(x)=x and show that (g of f)(x) =x
I am not sure how to approach this assignment!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: (f o g)(x) means f(g(x)) and (g o f)(x) means g(f(x))

Start with the first function

Plug in

Cancel out like terms

Simplify

Combine like terms.

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Start with the second function

Plug in

Combine like terms.

Cancel out like terms.

Simplify

Since we've shown that and , this means that the two functions are inverses of each other.

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