Question

Dada f (x)= 2x+1 e f(g(x))=2x+9, calcule g(x):

Answer 1

Queremos achar a g(x) ok?

sendo que:

f(g(x))= 2x + 9

Temos que g(x) = x + 4


Provando:

f(g(x)) = 2g(x) +1
2x+9 = 2g(x) +1
2x +9-1 = 2g(x)
2x + 8 = 2g(x)
g(x) = 2x/2 + 8/2

g(x) = x + 4