SOLUTION: Please help with this problem: Find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other.
f(x)=6/x, x≠0
g(x)=-(6/x), x≠0
Thank you!
Algebra.Com
Question 808296: Please help with this problem: Find f(g(x)) and g(f(x)). Then, determine whether f and g are inverses of each other.
f(x)=6/x, x≠0
g(x)=-(6/x), x≠0
Thank you!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
f(x)=6/x
g(x) = -6/x
f(g(x)) = 6/(-6/x) = -x
-----
g(f(x)) = -6/(6/x) = -x
-----
y = 6/x
Swap x & y
x = 6/y
Solve for y
y = 6/x is the inverse. Not negative.
RELATED QUESTIONS
For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine... (answered by stanbon)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
If f(g(x)) = g(f(x)) = x, then whay can... (answered by jim_thompson5910)
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:
If f(g(x)) = g(f(x)) = x, then what can... (answered by stanbon)
f(x)=5x+4/x+6 and g(x)=6x-4/5-x
(a) find f(g(x))
(b) find g(f(x))
(c) determine (answered by solver91311)
Find f(g(x)) and g(f(x)) and determine whether the functions f and g are inverses of each (answered by Fombitz)
Show work please. consider the functions f(x)=4x-16 and g(x)= x/4 +4.
Find f(g(x)) and... (answered by josgarithmetic)
consider the function f(x)=x^3-4 and g(x)=3 sqrt x+4
a. find f(g(x))
b. find g(f(x))
(answered by Theo)
I would greatly appreciate any help with this problem!
Find f(g(x)) and g(f(x)) and... (answered by solver91311)
For each pair of functions f and g below, find f (g (x)) and g (f(x))
Then, determine... (answered by Theo)