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.Com
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) (Show Source): You can put this solution on YOUR website!
\ =\ 2^x)
Replace )
with 
Solve for 
in terms of
\ =\ \log_2\left(2^x\right))
\ =\ x\log_2(2))
\ =\ x)
Swap the variables:
\ =\ y)
Replace with )
\ =\ \log_2(x))
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify)
a) (f+g)(x)
b)... (answered by CPhill)
If f(x)= square root 2x^2-1 and g(x)=x^1/2, find and simplify
a) (f+g)(x)
b) (f-g)(x)
(answered by Alan3354)
functions f and g are defined as follows:
f(x)=x^5 and g(x()= 1/x+1
Evaluate... (answered by Theo)
two function f and g are defined by :
f(x)=2x+1
g(x)=x^2
verify that (fog)^-1 =... (answered by jsmallt9)
For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o... (answered by rothauserc)
find f(g(x) and g(f(x)
a) f(x)= -3x ,g(x)=2x+6
b) f(x)= x^2 + 4x , g(x)= x-1
(answered by mathie123)
find (f g)(x) and (g f)(x).
f(x)=-2x^2 + 1, g(x)= -2x
(f... (answered by amarjeeth123)
Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following:
.
a) (g o f)(x)
.
b)... (answered by glitzgirl_14)
Let f(x)=x^2+x and g(x)=2x+1. Find and simplify the following:
.
a) (g o f)(x)
.
(answered by pushpaharan)