Question

Sabendo que f(g(x)) = 3x - 7 e f(x) = 1/3 x - 2, então:

a) g(x) = 9x - 15
b) g(x) = 9x + 15
c) g(x) = 15x - 9
d) g(x) = 15x + 9
e) g(x) = 9x - 5

Answer 1

Resp a)
f (g (x))=1/3* (g (x))-2
1/3*(g (x))-2=3x-7
(g (x))/3=3x-7+2
(g (x))/3=3x-5
g (x)=(3x-5)*3
g (x)=9x-15