SOLUTION: 3.16 The function f(x)=9x+4 is one-toone. Find an equation for f^-1(x), the inverse function. f^-1(x)= (Type an expression for the inverse, use integers or fractions fo

Algebra ->  Graphs -> SOLUTION: 3.16 The function f(x)=9x+4 is one-toone. Find an equation for f^-1(x), the inverse function. f^-1(x)= (Type an expression for the inverse, use integers or fractions fo      Log On


   



Question 1012245: 3.16
The function f(x)=9x+4 is one-toone.
Find an equation for f^-1(x), the inverse function.
f^-1(x)=
(Type an expression for the inverse, use integers or fractions for any numbers in the expression)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The function f(x)=9x+4 is one-to-one
rewrite as
y = 9x + 4
solve for x
9x = y - 4
x = (y - 4) / 9
exchange the x's and y's
y = (x - 4) / 9, therefore
f^-1(x) = (x - 4) / 9