SOLUTION: 1. The function f(x) and g(x) are defined by f(x)=2^x and g(x)= log2(1-2x) a. Write down f^-1(x). b. (i). Find and simplify (f°g)(x) (ii) Find and simplify (f°g)^-1(x) c. (i)

Algebra ->  Functions -> SOLUTION: 1. The function f(x) and g(x) are defined by f(x)=2^x and g(x)= log2(1-2x) a. Write down f^-1(x). b. (i). Find and simplify (f°g)(x) (ii) Find and simplify (f°g)^-1(x) c. (i)       Log On


   



Question 1102749: 1. The function f(x) and g(x) are defined by f(x)=2^x and g(x)= log2(1-2x)
a. Write down f^-1(x).
b. (i). Find and simplify (f°g)(x)
(ii) Find and simplify (f°g)^-1(x)
c. (i) Write down the domain of g(x).
(ii) write down the domain of (f°g)(x)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Replace with



Solve for in terms of







Swap the variables:



Replace with



John

My calculator said it, I believe it, that settles it