Question

If h(x)=6-x what is the value of (h•h)(110)

Answer 1

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

\-------->\ 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

hoped it helped