Question

hallar (f o g)(x) ; (g o f)(x) para: f(x)=3x-5; g(x)= x²+8​

Answer 1

Explicación paso a paso:

Funciones compuestas:

hallar (f o g)(x) ; (g o f)(x) para: f(x)=3x-5; g(x)= x²+8​

Hallar (f o g)(x):

( f o g )(x) = f ( g (x) )

( f o g )(x) = 3(x²+8​)-5

( f o g )(x) = 3x²+24-5

( f o g )(x) = 3x²+19

Hallar ( g o f )(x):

( g o f )(x) = g ( f (x) )

( g o f )(x) = (3x-5)²+8​

( g o f )(x) = (9x² - 30x+25)+8​

( g o f )(x) = 9x² - 30x + 33