functions simplify and determine whether f and g are inverses of each other

Algebra
Tutor: None Selected Time limit: 1 Day

For each pair of functions f and g below, find f(g(x)) and g(f(x)).

Then, determine whether f and g are inverses of each other.

 (a) F(x)−one forth,x≠0,  G(x)= one forthX, x≠0  F(g(x)),G(f(x))

(b) F(x)=x-3,G(x)=x+3,F(g(x)), G(f(x))


Dec 8th, 2014

F(x)= 1/4 

G(x)=1/4

F and G are not inverses of each other

F(x) =x-3

G(x) =x+3

F (G(x))= f(x+3) =x+3-3=x

G(f(x))= G(x-3) =x-3+3=x

F and G are inverses of each other



Dec 8th, 2014

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