SOLUTION: The function f(x) is given by f(x)=3x-1 Find in its simplest form a) f-1f(x) b)ff(x) In part a (f-1) is f inverse and the whole question i

Algebra ->  Functions -> SOLUTION: The function f(x) is given by f(x)=3x-1 Find in its simplest form a) f-1f(x) b)ff(x) In part a (f-1) is f inverse and the whole question i      Log On


   



Question 909843: The function f(x) is given by
f(x)=3x-1
Find in its simplest form
a) f-1f(x)
b)ff(x)
In part a (f-1) is f inverse and the whole question is finverse f(x)

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 3x - 1
a) let y = f(x)
y = 3x - 1
solve for x
3x = y + 1
x = (y+1) / 3
interchange x's and y's
y = (x+1) / 3
f inverse = (x+1) / 3
b) f inverse of f(x) = (3x-1+1) / 3
f inverse of f(x) = 3x / 3
f inverse of f(x) = x