samdough780 samdough780
  • 18-05-2020
  • Mathematics
contestada


f(x)=7x+3 and g(x)=-6x-8, find (f•g)(x) and (f•g)(-1)

Respuesta :

ItzMikeSS
ItzMikeSS ItzMikeSS
  • 18-05-2020

Answer:

[tex](f*g)(x)=-42x^2-74x-24[/tex]

[tex](f*g)(-1)=8[/tex]

Step-by-step explanation:

[tex]f(x)=7x+3\\ g(x)=-6x-8[/tex]

[tex](f*g)(x)=(7x+3)(-6x-8)\\(f*g)(x)=-42x^2-56x-18x-24\\(f*g)(x)=-42x^2-74x-24[/tex]

Now;

[tex](f*g)(-1)=-42x^2-74x-24\\(f*g)(-1)=-42(-1)^2-74(-1)-24\\(f*g)(-1)=-42(1)+74-24\\(f*g)(-1)=-42+50\\(f*g)(-1)=8[/tex]

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