functions f and g are defined by f:x -3x+4, g:x -x square+6.Using this notation,obtain expressions in the same form for fg and gf.find the values of x for which (1)f is equal to g , (2) fg is equal to gf......PLEASE HELP!!!

Question

functions f and g are defined by f:x ->3x+4, g:x ->x square+6.Using this notation,obtain expressions in the same form for fg and gf.find the values of x for which (1)f is equal to g , (2) fg is equal to gf......PLEASE HELP!!!

alexwee123 · Answer

you still there?

anonymous · Answer

yuppp..i'm waiting for the answer!!

anonymous · Answer

f(x) = 3x +4 , g(x) = x^2 + 6

f o g (x) =f(g(x)) =  3(x^2+6) + 4

g o f (x) = g(f(x)) = (3x+4)^2 + 6

anonymous · Answer

1) f = g =>     3x+4 = x^2 + 6

2) 3(x^2+6) + 4 =  (3x+4)^2 + 6

anonymous · Answer

those are quadratic equations which i'll leave you to solve

anonymous · Answer

fg is found by replacing x in f by g

anonymous · Answer

fg = 3g + 4