damisi
damisi damisi
  • 07-03-2019
  • Mathematics
contestada

Which of the following is a true statement about functions ?

Which of the following is a true statement about functions class=

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 07-03-2019

Answer:

D. If [tex]f[/tex] and [tex]g[/tex] are functions then;

[tex](f\bullet g)(x) =f(x)\bullet g(x)[/tex].

Step-by-step explanation:

The first option is not correct because composition of two functions is not commutative.

The second and third choice will also not yield the same result.

Let

[tex]f(x)=x^2[/tex] and [tex]g(x)=2x[/tex].

Then;

[tex](f\bullet g)(x)=2x^3[/tex] and [tex]f(x)\bullet g(x)=2x^3[/tex].

The correct answer is option D.

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