If m(x) = x2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?
5x + 9x2 + 15x + 27
25x2 + 90x + 84
x2 + 5x + 12
5x2 + 24

Respuesta :

[tex](mn)(x) = x^3+9x^2+15x+27[/tex]

Step-by-step explanation:

Given

[tex]m(x) = x^2+3\\n(x)= 5x+9[/tex]

We have to find (mn)(x) which means that two functions have to be multiplied to get the end result

[tex](mn)(x) = m(x) +n(x)\\= (x^2+3)(5x+9)\\=x^2(5x+9) + 3(5x+9)\\= x^3+9x^2+15x+27[/tex]

Hence,

[tex](mn)(x) = x^3+9x^2+15x+27[/tex]

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/5022643
  • brainly.com/question/4853862

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