If h(x) = 6 - x, what is the value of (h*h)(10)?

Answers

h(h(10))---> h(-4)>10 hOh(10)=10

Step-by-step explanation:

d.16

Step-by-step explanation:

h(x) = 6 – x

So

(h * h) (x) = (6 – x)(6 – x)

(h * h) (x) =(6 – x)^2

if x = 10 then

(h * h) (10) =(6 – 10)^2

(h * h) (10) =(-4)^2

(h * h) (10) = 16

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.



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