Question

Función de funciones

Determina f ° g ° h

Answer 1

Respuesta:

Primero:

Recuerda:

fog(x) = f(g(x)

Entonces:

fogoh(x)=f(g(h(x))

17.

$fogoh(x)=f(g(h(x))=f(g(3x-1))=f(3(3x-1))=f(9x-3)=(9x-3)^{2} =81x^{2} -54x+9$

18.

$fogoh(x)=f(g(h(x))=f(g(4x^{2} ))=f(1-4x^{2} )=(1-4x^{2} )^{3} = ...$

$...=1-12x^{2} +48x^{4} -64x^{6}$

19.

$fogoh(x)=f(g(h(x))=f(g(x-2))=f(2(x-2)-5)=f(2x-9)=\sqrt{2x-9}$