Answer:
16
Step-by-step explanation:
h(x) × h(x) = (6 - x)²
(h × h)(10) = (6 - 10)² = (- 4)² = 16
For this case we have by definition, that given two functions, then:
[tex](f * g) (x) = f (x) + g (x)[/tex]
Here, we want to find ([tex](h * h) (x):[/tex]
[tex](h * h) (x) = (6-x) (6-x)\\(h * h) (x) = 36-6x-6x + x ^ 2\\(h * h) (x) = 36-12x + x ^ 2[/tex]
We want to find the value of the function when [tex]x = 10[/tex].
[tex](h * h) (10) = 36-12 (10) + (10) ^ 2\\(h * h) (10) = 36-120 + 100\\(h * h) (x) = 16[/tex]
Answer:
[tex](h * h) (x) = 16[/tex]
