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.