209k views
3 votes
If h(x) = 6 - X, what is the value of (h*n (10)?

User SBUJOLD
by
3.3k points

1 Answer

6 votes

Answer:

(h * h)(10) = 16

Explanation:

We should know that: (f*g)(x) = f(x)*g(x)

Given: h(x) = 6 - x

∴(h * h)(x) = (6-x) (6-x) = (6-x)²

To find (h * h)(10), substitute with x = 10 at (h * h)(x)

∴ (h * h)(10) = (6-10)² = (-4)² = 16

==============================================

Note: if we want to find (hoh)(10)

(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x

∴ (hoh)(10) = 10

User Piezol
by
3.3k points