Question

Realizar la composición de: f(x)=3x-4, g(x)=x²-7x+10​

Answer 1

Explicación paso a paso:

$(fog)(x) = f(g(x)) = f( {x}^{2} - 7x + 10)) = 3( {x}^{2} - 7x + 10) - 4 \\ f(g(x)) = 3 {x}^{2} - 21x + 30 - 4 \\ f(g(x)) = 3 {x}^{2} - 21x + 26 \\ \\ g(f(x)) = g(3x - 4) = {(3x - 4)}^{2} - 7(3x - 4) + 10 \\ g(f(x)) = 9 {x}^{2} - 24x + 16 - 21x + 28 + 10 \\ g(f(x)) = 9 {x}^{2} - 45x + 54$