Question

If h(x) = 6 - X, what is the value of (h*h)(10)?

Answer 1

The value of
`\bold{ h(h(10))=10}`

Solution:

Given:
`h(x) = 6 - x`

To find: The value of (h*h)(10)

We know that,
`(h*h)(x)=h(h(x))`

which is,

`\Rightarrow h(h(x))=6-(6-x)=x`

On solving we get,

`\Rightarrow6-6+x=x`

So, for x = 10 it will be,

`h(h(10))=10`

Hence, the required value is 10.