SOLUTION: I have tried very hard to solve this problem, but I'm stuck. Please help me solve this problem:
g(x) = x -2 , f(x) = 3x - 2 , find x such that g(g(x)) = f(f(x))
Algebra.Com
Question 995666: I have tried very hard to solve this problem, but I'm stuck. Please help me solve this problem:
g(x) = x -2 , f(x) = 3x - 2 , find x such that g(g(x)) = f(f(x))
Found 2 solutions by MathLover1, algebrahouse.com:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
, ,
find such that
check:
=>=>
so, for
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
g(x) = x - 2
f(x) = 3x - 2
g(g(x)) = (x - 2) - 2 {substituted (x - 2), in for x, into x - 2}
= x - 4 {combined like terms}
f(f(x)) = 3(3x - 2) - 2 {substituted (3x - 2), in for x, into 3x - 2}
= 9x - 6 - 2 {used distributive property}
= 9x - 8 {combined like terms}
If g(g(x)) = f((f(x)), then
x - 4 = 9x - 8 {set g(g(x)) equal to f(f(x))}
8x = 4 {subtracted x and added 8 to each side}
x = 1/2 {divided each side by 8}
For more help from me, visit: www.algebrahouse.com
RELATED QUESTIONS
Please I need help on: The Functions f(x)=x+2 , g(x)=-3x Calculating this... (answered by stanbon,jim_thompson5910)
Hi!
I'm stuck on this problem and I'm not sure how to go about it.
Can anybody... (answered by MathLover1)
Please help me solve this problem. My mom and I have both tried.
If f(x) = x^2 - 2x +... (answered by feliz1965)
Hi, my name is michelle. im working on a midterm review that i have tomorrow at 12. im... (answered by ad_alta)
I really need help, I am an adult struggling with algebra. I have a very hard time... (answered by 303795)
Hello. I did not find how to solve this problem in the Blitzer College Algebra Book. Here (answered by josgarithmetic,MathTherapy,ikleyn)
I kind of understand how functions work but this is just confusing and I dont understand... (answered by Jk22)
f(x)=ax+b
WARNING : THE PROBLEM IS EXTREMELY HARD
1. (I have already solved it!!!)... (answered by Fombitz,rothauserc)
I don't get how to do this problem.
Find f(x) * g(x)
f(x)=2x^3/2, g(x)=3x^1/3... (answered by ankor@dixie-net.com)