lettyhuaracha lettyhuaracha
  • 25-06-2019
  • Mathematics
contestada

For f(x) = 2x+1 and g(x)=x^2-7, find (f*g)(x).

Respuesta :

luisejr77
luisejr77 luisejr77
  • 25-06-2019

Answer:

[tex](f*g) (x) =2x^3-13x^2-7 [/tex]

Step-by-step explanation:

We have the following functions

[tex]f (x) = 2x+1[/tex]

[tex]g (x) = x^2-7[/tex]

To find [tex](f*g)(x)[/tex] we must multiply the function f (x) with the function g (x)

Then we perform the following operation

[tex](f*g) (x) =(2x+1)(x^2-7)[/tex]

Apply the distributive property

[tex](f*g) (x) =2x^3-14x^2+x^2-7 [/tex]

[tex](f*g) (x) =2x^3-13x^2-7 [/tex]

Finally we have that:

[tex](f*g) (x) =2x^3-13x^2-7 [/tex]

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