Answered

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f={(-2,-1), (2,-2),(-1,4)}g={(4,-3),(-5,1),(-2,-4)}(fg)(-2)=

Sagot :

The function composition is defined as shown below

[tex](f\circ g)(x)=f(g(x))[/tex]

Thus,

[tex](f\circ g)(-2)=f(g(-2))=f(-4)[/tex]

And we cannot completely calculate (f∘g)(-2) since we are missing the value of f(-4).

On the other hand, we can calculate the product (fg)(-2) as shown below.

[tex](fg)(x)=f(x)g(x)[/tex]

Then,

[tex]\begin{gathered} (fg)(-2)=f(-2)g(-2)=-1\cdot-4=4 \\ \Rightarrow(fg)(-2)=4 \end{gathered}[/tex]

The result of the product of functions (fg)(-2) is 4.

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