SOLUTION: I have a question that states: are the foloowing functions inverse? If not, rewrite the 2nd function so that it is an inverse of the 1st. f(x)=3x+1 g(x)=3x-1/3

Algebra ->  Functions -> SOLUTION: I have a question that states: are the foloowing functions inverse? If not, rewrite the 2nd function so that it is an inverse of the 1st. f(x)=3x+1 g(x)=3x-1/3      Log On


   

Question 87829: I have a question that states: are the foloowing functions inverse? If not, rewrite the 2nd function so that it is an inverse of the 1st.
f(x)=3x+1
g(x)=3x-1/3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
are the following functions inverse?
If not, rewrite the 2nd function so that it is an inverse of the 1st.
f(x)=3x+1
Find the inverse, y = f(x)
y = 3x + 1
or
3x + 1 = y
Swap y for x and solve for y:
3y + 1 = x
3y = x - 1; subtract 1 from both sides
y = %28%28x-1%29%29%2F3; divided both sides by 3
f%5E-1(x) = %28%28x-1%29%29%2F3

g(x)=3x-1/3; obviously this is not the inverse of,