consider the function f(x)=3x-8
A.) find the inverse of f(x) and name it g(x).
B.) use the function composition to show that f(x) and g(x) are inverses of each other.
C.) draw a graph of f(x) and g(x).

Question

consider the function f(x)=3x-8
A.) find the inverse of f(x) and name it g(x).
B.) use the function composition to show that f(x) and g(x) are inverses of each other.
C.) draw a graph of f(x) and g(x).

anonymous · Answer

i already have a down i just need help with b and c

anonymous · Answer

@rockstar0765

anonymous · Answer

@chosenmatt

rockstar0765 · Answer

the inverse like as in what

anonymous · Answer

inverse of function f(X) its like the opposite i think its g(x)= (x+8)/3

anonymous · Answer

Let's write y=f(x)
Let g be the inverse of f.
g is inverse of if and only if x=g(y)
we have: f(x) =3x-8
           or y=3x-8
               y+8=3x
               x=(y+8)/3
              The inverse function of f(x) is g(y) = (Y+8)/3
                                                        OR  g(y)=y/3+8/3
                                                         OR g(y)=(1/3)y +8/3

anonymous · Answer

thank you so much but I already got it

anonymous · Answer

You're welcome. I saw your answer, but, sorry! I wanted to call your attention a little bit on a mistake. The inverse function should be a function of y, not a function of x. I mean the variable is no more x, but y.