Question

If r(x) = 2-x² and w(x) = x-2, what is the range of (wor)(x)?

O (-∞0,0]
0 (-0.2]
O [0,00)
O [2,00)
4

Answer 1

Answer:
`[-2, \infty)`

Explanation:

`(w \circ r)(x)=w(r(x))=w(2x^2)=2x^2-2\\\\x^2 \geq 0 \implies 2x^2 \geq 0 \implies 2x^2 -2 \geq -2 \longrightarrow \boxed{[-2, \infty)}`