Question

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

Answer 1

Your exact value should be 10h
`^(2)`

Explanation:

I put it into the calculator and that's what came out.

Answer 2

Answer: 16

Explanation:

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

Then, the composition function of
`(h\cdot h)(x)=h(x)* h(x)`

`\\\\\Rightarrow\ (h\cdot h)(x)=(6-x)(6-x)=(6-x)^2`

Using identity
`(a-b)^2=a^2-2ab+b^2`, we have

`(6-x)^2=6^2-(2)(6)(x)+x^2\\\\\Rightarrow\ (h\cdot h)(x)=(6-x)^2=36-12x+x^2`

Now,
`(h\cdot h)(10)=36-12(10)+(10)^2`

`=36-120+100=16`

Hence, the value of
`(h\cdot h)(10)=16`