The value of the composite function (h⁰ g)(x) calculated by function operation is -x-10 .
A function is defined as the relation between element of two sets, domain and range. A function is usually denoted using f, g or h .
A algebraic function is defined as y=g(x) such that each element y is related to a single value of x.
(h ∘ g)(x) is also written as h[g(x)] is called a composite function where which means the value of x=g(x) will be substituted in the function h(x).
Composite function is a process that joins two functions to create a third, unique function.
The output of one function becomes the input of another function in h of g of x.
Given functions are:
g(x)=1/2 x+7 and h(x)=-2 x+4
Therefore (h ∘ g)(x)=h[g(x)]
=h(1/2 x+7)
=-2(1/2 x+7)+4
=-x-14+4
=-x-10
Hence the value of the function operation (h⁰ g)(x) is -x-10 .
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