Any help is appreciated! I tried finding the inverse but I don't know the next step. Can someone please help, thanks!! Let f(x)=3x-4 and g(x)=5x+c . Find c if f(g(x) and g(f(x) for all x.
Your question does not ask for the inverse of any of the functions....sooooo....
f(x) = 3x-4 then for f (g(x) ) put g(x) in place of 'x'
f(g(x)) = 3 (5x+c) - 4 = 15x + 3c - 4
and
g(f(x)) = 5 (3x-4) +c = 15x - 20 + c
Now your question is missing something.....I will assume you want the two to be equal for all x
15x -20 + c = 15x + 3c - 4
-20 + c = 3c -4
-16 = 2c
c = - 8
Your question does not ask for the inverse of any of the functions....sooooo....
f(x) = 3x-4 then for f (g(x) ) put g(x) in place of 'x'
f(g(x)) = 3 (5x+c) - 4 = 15x + 3c - 4
and
g(f(x)) = 5 (3x-4) +c = 15x - 20 + c
Now your question is missing something.....I will assume you want the two to be equal for all x
15x -20 + c = 15x + 3c - 4
-20 + c = 3c -4
-16 = 2c
c = - 8
Yes, your assumption was right, im sorry for the confusion! Thanks for your help.