SOLUTION: the equation defines a one-to-one function f. f(x) = 4x − 1 Verify that f ∘ f −1 and f −1 ∘ f are both the identity function. (f ∘ f −1)(x) = f(f�

Question 1206605: the equation defines a one-to-one function f.
f(x) = 4x − 1
Verify that
f ∘ f −1
and
f −1 ∘ f
are both the identity function.
(f ∘ f −1)(x) = f(f −1(x))
(f −1 ∘ f)(x) = f −1(f(x))
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

Verify that
∘
and
∘
are both the identity function.

(∘ )
( ∘ )

find
...
...swap variables
...solve for

(∘ )
( ∘ )

proven that
(∘ )
( ∘ )

RELATED QUESTIONS
1)The equation defines a one-to-one function f. Determine f -1 and verify that f f -1... (answered by solver91311)

The function f is one-to-one, find its inverse and determine the domain and range of both (answered by stanbon)

For a one-to-one function f(x) and its inverse function f^-1(x), the domain of f(x) is... (answered by Fombitz)

Find the following for the function f 4x^2+4x-3 . (a) f (0)=-3 did this... (answered by Alan3354)

Find the inverse of f(x)=(4x-2)/(3x+2). Verify your answer by showing that f(f^-1(x))=x... (answered by Theo)

let f be the function defined by f(x)=4x-3. Find f(4), f(1/4), f(0), f(a), and f(a+1) (answered by solver91311)

let f be the function defined by f(x)=4x-3. Find f(4), f(1/4), f(0), f(a), and... (answered by solver91311,mastergerwe)

3.26 For the function f(x)=4x-5 determine whether f(x) is one-to-one. If so, find a... (answered by Theo)

For each function, find f(-2), f(-1/2), f(3), and f(7) f(x) = 5x+2 is the first... (answered by Edwin McCravy)