Question

Si f(x) = 3x + 2, g(x) = 3 – 5x, halla:

Answer 1

Explicación paso a paso:

Si f(x) = 3x + 2, g(x) = 3 – 5x, halla:

a)

( f + g )(x) = f (x) + g (x)

( f + g )(x) =3x + 2 + 3 – 5x

( f + g )(x) = -2x + 5

b)

( f – g )(x) = f (x) – g (x)

( f – g )(x) = (3x + 2) – (3 – 5x)

( f – g )(x) = 3x + 2 – 3 + 5x

( f – g )(x) = 8x - 1

c)

( fg )(x) = f (x) × g (x)

( fg )(x) = (3x + 2)  × (3 – 5x)

( fg )(x) = (3x)(3) + (3x)(-5x) + (2)(3) + (2)(-5x)    

( fg )(x) = 9x -15x² +6 -10x

d)

( f/g )(x) = f (x) / g (x)  

( f/g )(x) =(3x + 2)  / (3 – 5x)