turneramell turneramell
  • 04-02-2020
  • Mathematics
contestada

If a(x)=2x-4 and b(x) =x+2, which of the following expressions produces a quadratic function?

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calculista
calculista calculista
  • 15-02-2020

Answer:

[tex](ab)(x)[/tex]

Step-by-step explanation:

The complete question in the attached figure

we have

[tex]a(x)=2x-4\\b(x)=x+2[/tex]

we know that

(ab)(x) is equal to the product of a(x) and b(x)

so

[tex](ab)(x)=(2x-4)(x+2)[/tex]

Applying distributive property

[tex](ab)(x)=2x(x)+2x(2)-4(x)-4(2)[/tex]

[tex](ab)(x)=2x^2+4x-4x-8[/tex]

[tex](ab)(x)=2x^2-8[/tex]

This is a quadratic equation

The other expressions not produce a quadratic equation

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