SOLUTION: Consider the function f(x)=3x-6 and g(x)=x/3+2. A) Find f(g(x)). B) Find g(f(x)). C) Determine whether the functions f and g inverse of each other.

Question 685001: Consider the function f(x)=3x-6 and g(x)=x/3+2. A) Find f(g(x)). B) Find g(f(x)). C) Determine whether the functions f and g inverse of each other.
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
f(g(x)) =
=
f(g(x))= x
...
...
g(f(x)) =
=
g(f(x)) = x
...
...
f(x) = 3x - 6
y = 3x - 6
y + 6 = 3x
x =

so g(x) is an inverse function of f(x)
and
g(x) =
y =
y - 2 =
x = 3(y-2)

so f(x) is an inverse function of g(x)
.....................
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