Question

What is the range of (w*r)(x)

Answer 1

Answer: First option is correct.

Explanation:

Since we have given that

`r(x)=2-x^2\\\\w(x)=x-2`

we need to find the composition of function w and r i.e.

`w\circ r=w(r(x))=w(2-x^2)=2-x^2-2=-x^2`

Since the range of
`-x^2` must be
`(-\infty,0}`.

As its values can be any negative real number in this interval.

Hence, first option is correct.