Question

I NEED DESPERATE HELP. The questions are in the pictures, and i need help with ALL of it. THANK YOU

Answer 1

The given functions are

`l(x)=|x|`
`m(x)=-x^2`

The composition function can be written as follows:

`l(m(x)=l(-x^2)`

`=|-x^2|`
`We\text{ know that }-x^2\text{ always negative for all values of x}`
`|-x^2|=x^2`

Therefore the algebraic expression of composition is

`l(m(x)=x^2`

The table values are

`x=-3,\text{ composition=}(-3)^2=9`

`x=-2,\text{ composition=}(-2)^2=4`

`x=-1,\text{ composition=}(-1)^2=1`

`x=0,\text{ composition=}(0)^2=0`

`x=1,\text{ composition=}(1)^2=1`

`x=2,\text{ composition=}(2)^2=4`

`x=3,\text{ composition=}(3)^2=9`