Question

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

Answer 1

(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

Answer 2

Answer:  16

Step-by-step explanation:

The given function : $h(x) = 6 - x$

We know that for any functions f(x) and g(x)

$f*g (x)=f(x)\times g(x)$

Therefore , $h*h (x)=h(x)\times h(x)$

$h*h (x)=(6-x)(6-x)=(6-x)^2$

$h*h (x)=(6)^2-2(6)(x)+x^2$    [ Using identity  $(a-b)^2=a^2+2ab+b^2$ ]

$h*h (x)=36-12(x)+x^2$

$\Rightarrow\ h*h (x)=36-12(x)+x^2$

Now, at x= 10 , we get

$h*h (10)=36-12(10)+(10)^2$

$h*h (10)=36-120+100=36+100-120=136-120=16$

Hence, the value of (h*h)(10) = 16