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if f(x) is (x^2-13x)and g(x) is (x+5) what is (fg) (x) this is a function operations question i am so confused please help me

Respuesta :

biriyani

Answer :

  • (f•g)(x) = x^3 - 8x^2 -65x

Steps :

  • f(x) = (x^2-13x)
  • g(x) = (x+5)

thus,

  • (f•g)(x) = (x^2-13x)(x+5)
  • (f•g)(x) = x^2(x+5) -13x(x+5)
  • (f•g)(x) = x^3 + 5x^2 -13x^2 -65x
  • (f•g)(x) = x^3 - 8x^2 -65x
semsee45

Answer:

[tex](fg)(x) =x^3-8x^2-65x[/tex]

Step-by-step explanation:

Given functions:

[tex]f(x) =x^2-13x\\\\g(x) = x+5[/tex]

To find the product of f(x) and g(x), simply multiply the two functions together:

[tex](fg)(x) = f(x) \cdot g(x)\\\\(fg)(x) = (x^2 - 13x)(x + 5)\\\\(fg)(x) = x^2(x + 5) - 13x(x + 5)\\\\(fg)(x) =x^3+5x^2-13x^2-65x\\\\(fg)(x) =x^3-8x^2-65x\\\\[/tex]

Therefore, (fg)(x) = x³ - 8x² - 65x.

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