Question

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Answer 1

Explicación paso a paso:

Sean las funciones:

f(x) = 5x + 10

g(x) = -4 + 3x²

Determine:

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

g o f(x) = g ( f (-7) )

Resolvamos:

a)

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

( f o g )(x) = 5(-4 + 3x²) + 10

( f o g )(x) = -20 + 15x² + 10

( f o g )(x) = 15x²-20  + 10

( f o g )(x) = 15x² -10

b)

( g o f )(-7) = g ( f (x) )

( g o f )(-7) = -4 + 3(5x + 10)²

( g o f )(-7) = -4 + 3(5(-7) + 10)²

( g o f )(-7) = -4 + 3(-35+ 10)²

( g o f )(-7) = -4 + 3(-25)²

( g o f )(-7) = -4 + 3(625)

( g o f )(-7) = -4 + 1875

( g o f )(-7) = 1871