Question

Determine q(x) sabendo que p(x)=4x-7 e p(q(x))=12x+25.

Answer 1

 Basta substituir q(x) por "x" na função p(x), veja:

 

$p(x) = 4x - 7 \\ p(q(x)) = 4 \times q(x) - 7 \\ 12x + 25 = 4 \times q(x) - 7 \\ 12x + 25 + 7 = 4 \times q(x) \\ 4 \times q(x) = 12x + 32 \\\\ q(x) = \frac{12x + 32}{4} \\\\ \boxed{q(x) = 3x + 8}$