Question

1) Calcule las imágenes solicitadas si f(x) = 2x - 3y g(x) = 5 - 2 a) (gof)(1) = b) (fog)(x) = c) To-3) ​

Answer 1

Respuesta:

$f(x)=2x-3\\\\g(x)=5x-2$

a)

$(g\circ f)(x)=g(f(x))\\(g\circ f)(x)=g(2x-3)\\(g\circ f)(x)=5(2x-3)-2\\(g\circ f)(x)=10x-15-2\\(g\circ f)(x)=10x-17$

$(g\circ f)(1)=10(1)-17\\(g\circ f)(x)=10-17\\(g\circ f)(x)=-7$

b)

$(f\circ g)(x)=f(g(x))\\(f\circ g)(x)=f(5x-2)\\(f\circ g)(x)=2(5x-2)-3\\(f\circ g)(x)=10x-4-3\\(f\circ g)(x)=10x-7$