Question

Dadas as funções f(x) = 4x + 1 e g(x) = 2x -3. Encontre : f(g(x)) e f(f(x) me ajudem por favor

Answer 1

$\Large\boxed{\begin{array}{l}\sf f(x)=4x+1~~g(x)=2x-3\\\sf f[g(x)]=4g(x)+1\\\sf f[g(x)]=4\cdot(2x-3)+1\\\sf f[g(x)]=8x-12+1\\\sf f[g(x)]=8x-11\\\sf f[f(x)]=4f(x)+1\\\sf f[f(x)]=4\cdot(4x+1)+1\\\sf f[f(x)]=16x+4+1\\\sf f[f(x)]=16x+5\end{array}}$