SOLUTION: show that ((( f(x)=3x-4 and g(x)=(x+4)/3 ))) are inverses

Question 153022: show that ((( f(x)=3x-4 and g(x)=(x+4)/3 ))) are inverses
Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
When functions are invereses of each other, if you take (f(g(x)), you get x back.
Basically, the second function 'undoes' what the first one does.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first function.

Plug in .

Multiply

Combine like terms

-------------------

Start with the second function.

Plug in

Combine like terms.

Reduce.

Since and , this shows that the two functions are inverses of one another.

RELATED QUESTIONS
Show that f(x)=∛(x+2) and g(x)=x^3-2 are... (answered by josgarithmetic)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.... (answered by MathLover1)
Confirm that the function f(x) = 3x + 2, and g(x) = (x-2)/(3) are inverses. (answered by texttutoring)
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) =... (answered by Fombitz)
Show that the function f(x)=3/x-2 and g(x)=3+2x/x are inverses of each... (answered by Alan3354)
show that f(x)=sqrt(x-1) and g(x)=x^2+1 are... (answered by Shin123)
Show that f(x)=7x−23 and g(x)=x3+27 are inverses. (answered by Fombitz)
Determine if the following pairs of functions are inverses of each other; you must show... (answered by eperette)
Show work please. consider the functions f(x)=4x-16 and g(x)= x/4 +4. Find f(g(x)) and... (answered by josgarithmetic)