Question

Dadas f(x)=2x-3 e g(x)=3x+2, obtenha f(g(x)).

Answer 1

$\bullet\;\;f(x)=2x-3~\text{ e }~g(x)=3x+2.$

Portanto,

$f\big(g(x)\big)=2\,g(x)-3\\\\ f\big(g(x)\big)=2\cdot (3x+2)-3\\\\ f\big(g(x)\big)=6x+4-3\\\\ \therefore~~\boxed{\begin{array}{c}f\big(g(x)\big)=6x+1 \end{array}}$


Bons estudos! :-)