Question

Find (k∘k)(−2)for k(x)=2x2+2x−3.

Answer 1

To find
`(k∘k)(−2) for k(x)=2x^2+2x−3,` we first need to evaluate
`k(-2):`

`k(-2) = 2(-2)^2 + 2(-2) - 3 = 8 - 4 - 3 = 1`

Next, we need to evaluate
`k(1)` since it is the input for the second application of k in
`(k∘k)(-2):`

`k(1) = 2(1)^2 + 2(1) - 3 = 2 + 2 - 3 = 1`

Finally, we can evaluate
`(k∘k)(-2)` using the composition of functions formula:

`(k∘k)(-2) = k(k(-2)) = k(1) = 1`

Therefore,
`(k∘k)(-2) = 1.`

`Hope`
`it`
`helps!`