Question

Sendo f(x)= 3x+1 e f(g(x))= 2x-1, determine g(x).


Urgente por favor.... 30 pts

Answer 1

f(x) = 3x + 1
f(g(x)) = 2x - 1

g(x) = ?

f(g(x)) = 3 . g(x) + 1

2x - 1 = 3 . g(x) + 1

2x - 1 - 1 = 3g(x)

g(x) = ( 2x - 2 ) / 3

Answer 2

F ( g (x) ) = 3* ( g(x) + 1
2x - 1 = 3g(x ) + 1
3g(x) + 1 = 2x - 1
3g(x) = 2x - 1 - 1
3g(x) = 2x - 2
g(x ) = ( 2x - 2 ) / 3