Question

Sejam f(x) = 4x - 2 e f(g(x)) = 2x + 10
Determine g(x)

Answer 1

Olá.

$f(x)=4x-2\\ f(g(x))=2x+10\\ g(x)=?\\ \\ f(g(x))=4g(x)-2\\ \\ f(g(x))=f(g(x))\\ \\ \\ \\ 4g(x)-2=2x+10\\ 4g(x)=2x+10+2\\ 4g(x)=2x+12\\ g(x)=\frac { 2x+12 }{ 4 } \\ \\ g(x)=\frac { x+6 }{ 2 }$