Question

Dadas as funções reais fx) = 2x - 1 e fogtx) = -2x + 3, obtenha a Lei de Formação de g(x).

Answer 1

$\left\begin{array}{ccc}fog(x)&=&f(g(x))\\\\\\-2x~+~3&=&2.g(x)~-~1\\\\\\2g(x)&=&-2x~+~3~+~1\\\\\\2g(x)&=&-2x~+~4\\\\\\g(x)&=&\dfrac{-2x+4}{2}\end{array}\right\\\\\\\\~~~~~~~~\boxed{g(x)~=~-x~+~2}$