Question

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

Answer 1

The function composition is defined as shown below

`(f\circ g)(x)=f(g(x))`

Thus,

`(f\circ g)(-2)=f(g(-2))=f(-4)`

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.

`(fg)(x)=f(x)g(x)`

Then,

`\begin{gathered} (fg)(-2)=f(-2)g(-2)=-1\cdot-4=4 \\ \Rightarrow(fg)(-2)=4 \end{gathered}`

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