Question

If h(x) = 6 – x, what is the value of (h*h)(10)? –4 –2 10 16

Answer 1

The value of (h*h)(10) for the function h(x) = 6 - x is calculated by first finding h(10), which is -4, and then applying the function h again to get h(-4), which results in 10.

Step-by-step explanation:

To find the value of (h*h)(10), we first need to understand what this notation means. It represents the function h composed with itself, which is denoted as h(h(x)). Given that the function h(x) = 6 – x, we want to find h(h(10)).

First, we calculate the inner function:

1. h(10) = 6 - 10 = -4

Next, we apply the outer function h to the result:

1. h(-4) = 6 - (-4) = 6 + 4
2. h(-4) = 10

Therefore, the value of (h*h)(10) is 10.

Answer 2

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

h(x) = 6-x
h(10) = 6-10
h(10) = -4

So,
h(10)*h(10) = (-4)*(-4)
h(10)*h(10) = 16

The final answer is 16