SOLUTION: f(x)=5x+4/x+6 and g(x)=6x-4/5-x (a) find f(g(x)) (b) find g(f(x)) (c) determine whether functions f and g are inverses of each other.

SOLUTION: f(x)=5x+4/x+6 and g(x)=6x-4/5-x (a) find f(g(x)) (b) find g(f(x)) (c) determine whether functions f and g are inverses of each other.

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Question 995751: f(x)=5x+4/x+6 and g(x)=6x-4/5-x
(a) find f(g(x))
(b) find g(f(x))
(c) determine whether functions f and g are inverses of each other.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

a). Put the definition of

in place of

in the definition of

and simplify.

b). Put the definition of

in place of

in the definition of

and simplify.

c). If you got the same answer for parts a) and b), then the functions are inverses of each other.

John

My calculator said it, I believe it, that settles it

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